Basic Math by O.G. Rose

7/21/2019 Basic Math by O.G. Rose

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Dksef Lktb4 + 4 < = kgm ;;; Ovjriy-Velpij ôegts og Mjtjrlegeg` ]rutb eg Our Deks/Cugmeg`/^krteskg/Jtf.-Odsjssjm K`j

O.@. Tosj

;. Ec k pjrsog es cugmjm dy jetbjr tbj Aofb Drotbjrs, tbj Iedjrki Ljmek, tbj Gkze ^krty, tbj

Dkgas, jtf., kgm tbj pjrsog skys ‒4 + 4 < =―, tbj pjrsog skys soljtbeg` truj. Bow k

pjrsog rjfjevjs cugmeg` mojsg―t fbkg`j ec wbkt k pjrsog skys es truj or ckisj, tbou`b etlky tjlpt tbj pjrsog to prjsjgt ckisetejs ks trutbs kgm/or trutbs ks ckisetejs.

4. Ec tbj lost jvei, emeotef, wboijsolj, skegtiy, `rjjmy, jtf. pjrsog og tbj pikgjt skys ‒4 + 4

< =―, tbj pjrsog bks skem soljtbeg` truj. Ec k iestjgjr tbou`bt tbj pjrsog, djfkusj bj wks

jvei, skem soljtbeg` ckisj, tbkt iestjgjr wouim dj egforrjft. Ieajwesj, ec soljogj tbou`bttbj pjrsog wks k skegt kgm bjgfj skem soljtbeg` ‒lorj truj― tbkg kg jvei pjopij wbo skem

tbj sklj tbeg`, tbkt pjrsog wouim kiso dj egforrjft.

6. Ec k pjrsog eiioèfkiiy fogfiumjs ‒4 + 4 < =―, tbj pjrsog steii fogfiumjm soljtbeg` truj.]bou`b k ikfa oc ioèf fkg ijkm to ckisety, et mojsg―t mo so gjfjsskreiy. Curtbjrlorj,

soljogj wbo skys soljtbeg` truj esg―t gjfjsskreiy soljogj wbo es ioèfki, tbou`b pjrbkps tbjrj es k be`bjr prodkdeiety oc sufb djeg` tbj fksj.

=. Ec wj fkii ‒4 + 4 < :― propk`kgmk, et mojsg―t djfolj lorj or ijss tr uj.

:. Ec k pjrsog es k iekr, k Fogsjrvktevjs, k Iedjrki, k Voutbjrgjr, or k Gortbjrgjr, bks kbestory oc ellorkiety, jtf. dut skys ‒4 + 4 < =―, tbj pjrsog bks skem soljtbeg` truj. Pbo k

pjrsog es, wbjrj k pjrsog foljs crol, wbkt ikdjis k pjrsog ckiis ugmjr, jtf., mog―t lkaj

soljtbeg` tbj pjrsog skys tbkt es truj kgy ijss truj, ks et mojsg―t lkaj soljtbeg` ckisj

tbkt es skem kgy ijss ckisj.

3.

Ec k pjrsog skys k leiieog tbeg`s tbkt krj ckisj kgm tbjg skys ‒4 + 4 < =―, tbj pjrsog bksskem soljtbeg` tbkt es truj. ]bj guldjr oc ckisj tbeg`s k pjrsog bks skem mojsg―t lkajsoljtbeg` tbj pjrsog skys tbkt es truj kgy ijss truj. Ieajwesj, ec k pjrsog es k `jgeus kgm

skys ‒4 + 4 < :―, tbj pjrsog bks pjrbkps dreiiekgtiy skem soljtbeg` tbkt es ckisj.

0. Ec k pjrsog wjrj k Fbrestekg, Begmu, jtf. kgm djiejvjm 4 + 4 < =, et wouim egmjjm dj tbj

fksj, ks et wouimg―t dj tbj fksj tbkt 4 + 4 < : jvjg ec k pjrsog rjieèousiy kgm `jguegjiy

djiejvjm et. Ogj―s djiejcs, jvjg ec pjrbkps lotevkteg` k pjrsog to djiejvj k fjrtkeg tbeg`,

mojsg―t lkaj tbkt tbeg` kgy lorj or ijss truj.

2. Ec soljogj you mesieaj, octjg mesk`rjj wetb, jtf., skys ‒4 + 4 < =―, you sbouim k`rjj wetb

tbkt pjrsog, ks you sbouim mesk`rjj ec tbkt pjrsog wjrj to sky ‒4 + 4 < :―.

5. Ec you krj fogstkgtiy surrougmjm dy pjopij wbo tjii you ‒4 + 4 < :―, tbjg tbj telj you

jgfougtjr tbkt ogj ‒emeot― wbo fikels ‒4 + 4 < =― es tbj ogj telj you jgfougtjr soljogj

wbo tjiis you wbkt es truj. Ieajwesj, ec jvjryogj krougm you kssuljs you tbega 4 + 4 < :kgm tkias to you kfformegìy, et es steii tbj fksj tbkt 4 + 4 < =. Cegkiiy, ec jvjryogj hoegs

you og your semj oc k mjdktj eg wbefb you krj krùeg` ‒4 + 4 < :―, et es steii tbj fksj tbkt

you krj wrog`.



;>. Ec you wjrj to sky ‒4 + 4 < :―, you sbouim bopj tbkt pjopij wouim mesk`rjj wetb you

kgm/or forrjft you1 otbjrwesj, pjopij wouim dj sjtteg` you up (pjrbkps out oc gefjgjss,got wkgteg` to dj rumj, got wkgteg` to burt your cjjieg`s, jtf.) to dj wrog`. Ec you bkvj

kg opportugety cor k wogmjrcui hod kgm mureg` your egtjrvejw sky ‒4 + 4 < :― ‖ ks otbjr

pjopij ijm you to djiejvj ‖ tbj lestkaj le`bt dj fostiy.

;;. Ec soljogj wbo bktjs woljg wjrj to sky ―4 + 4 < =―, tbkt pjrsog wouim sky soljtbeg`

tbkt es truj, tbou`b tbes wouim got ljkg tbkt tbj pjrsog es ‒òom―. Curtbjrlorj, tbou`b et

le`bt dj occjgsevj to sky tbkt soljogj wbo bktjs woljg ‒skem soljtbeg` truj―, tbesoccjgsj mojs got lkaj wbkt tbj pjrsog skys kgy lorj or ijss truj. Bjgfj, k pjrsog―s

lorkiety esg―t rjiktjm to tbj vkiemety oc wbkt k pjrsog skys, gor mojs tbj ckft tbkt soljogj

le`bt cegm et occjgsevj to su``jst ‒k pjrsog wbo bktjs wolkg skem soljtbeg` truj― lkaj

wbkt es skem kgy lorj or ijss truj. ]bkt kii skem, jvjg tbou`b soljogj wbo bktjs woljgfkg sky tbkt wbefb et es truj, soljogj wbo bktjs woljg es soljogj wbo sbouim dj bjim

kffougtk dij cor bkteg` woljg (kssuleg` tbes es egmjjm tbj fksj kgm got selpiy ‒tbou`bt

oc― ks djeg` tbj fksj).

;4. Ec you rjkm k dooa kgm jvjry sjgtjgfj you―vj rjkm es k iej, fijkriy wrettjg to mjfjevj, bks

odveousiy lesrjprjsjgtjm tbj ckfts, jtf., kgm tbjg you rjkm ‒4 + 4 < =―, tbj dooa fogtkegs

soljtbeg` truj.

;6. Ec jetbjr k sjxest, k rkfest, k bolopbodj, k cugmkljgtkiest Fbrestekg, k rkmefki tjrrorest, k

wbetj suprjlkfest, jtf., wjrj to sky ‒4 + 4 < =―, tbj pjrsog wouim sky soljtbeg` tbkt estruj, tbou`b tbkt esg―t to sky you sbouimg―t poegt out k pjrsog―s jrror(s), cor you sbouim, ec

k pjrsog djiejvjs ‒4 + 4 < :―, forrjft tbkt egmevemuki (tbou`b bow you ò kdout moeg` tbkt

es k meccjrjgt qujsteog).

;=.

Ec k pjrsog `rjw up djeg` tku`bt tbkt ‒4 + 4 < :―, tbj pjrsog djiejvjs soljtbeg` ckisj,

jvjg tbou`b tbj pjrsog―s pkrjgts lky got rjkiezj et. Ieajwesj, ec k pjrsog `rjw up djeg`

tku`bt dy fiosjm-legmjm zjkiots tbkt ‒4 + 4 < =―, tbosj fiosjm-legmjm zjkiots tku`btsoljtbeg` truj.

;:. Ec Vupjrlkg wjrj to sky ‒4 + 4 < :― kgm Ijx Iutbjr wjrj to sky ‒4 + 4 < =―, Ijx Iutbjrwouim dj re`bt.

;3. Ec you ogiy tkaj fikssjs eg foiij`j tbkt tjii you ‒4 + 4 < :―, tbjg et es tbj fksj tbkt foiij`j

ogiy tku`bt you wbkt esg―t truj. Ieajwesj, ec jvjrytbeg` you rjkm eg foiij`j fikels 4 + 4 <:, et es steii tbj fksj tbkt 4 + 4 < =. Ikstiy, ec you jkrg k mj`rjj eg 4 + 4 < :, you jkrg k

mj`rjj eg wbkt esg―t truj. Bjgfj, kffrjmetkteog mojsg―t fbkg`j wbkt es truj, tbou`b ogj

wbo es kffrjmetjm le`bt dj djttjr kt emjgtecyeg` wbkt es truj, tbou`b got gjfjsskreiy.

;0. Ec soljogj wjrj to sboot soljogj, aefa k puppy, sjt occ k dold, jtf., kgm tbjg turg to

you kgm sky ‒4 + 4 < =―, tbkt pjrsog wouim sky soljtbeg` tbkt es truj. Ieajwesj, ec

soljogj jisj wjrj to cjjm k boljijss lkg, sbjitjr k puppy, mjtogktj k dold, jtf., kgmtbjg turg to you kgm sky ‒4 + 4 < =―, tbkt pjrsog wouim sky soljtbeg` tbkt es truj. Ec



jetbjr pjrsog wjrj to sky ‒4 + 4 < :―, tbjy wouim sky soljtbeg` ckisj. Bjgfj, k pjrsog―s

kfteogs mo got lkaj wbkt k pjrsog skys kgy lorj or ijss truj (ugijss tbkt es tbj stktjljgt

es kdout wbjtbjr or got kg kfteog weii bkppjg).

;2. Ec soljogj wjrj to sky ‒ogiy emeots djiejvj 4 + 4 < =―, 4 + 4 < = wouim steii eg ckft dj tbj

fksj. Ieajwesj, ec kii tbj slkrtjst, lost powjrcui, lost cksbeogkdij, jtf. pjopij eg tbjworim wjrj to djèg skyeg` ‒4 + 4 < :―, et wouim steii dj tbj fksj tbkt 4 + 4 < =. Ec tbosjsklj pjopij skem ‒4 + 4 < =―, tbjy wouim spjka tbj trutb, dut got djfkusj tbjy skem et, dut

djfkusj et es truj tbkt 4 + 4 < =.

;5. Ec k pjrsog es tbegaeg` ‒4 + 4 < =― kgm skys ‒4 + 4 < :―, tbj pjrsog tbegas wbkt es truj dut

skys wbkt es ckisj. Bowjvjr, segfj you fkggot agow ec soljogj wbo skys ‒4 + 4 < :―

ljkgs to sky ‒4 + 4 < =―, you fkggot sky cor surj tbkt tbj pjrsog es jgterjiy wrog`. ]bjrj

es kiwkys tbj possedeiety tbkt tbj pjrsog skys wbkt bj or sbj mojs got ljkg. Bjgfj, mo got dj quefa to tbega tbkt soljogj wbo skys wbkt you mog―t k`rjj wetb es soljogj wbo

mojsg―t tbega ieaj you. K pjrsog lky got dj wrog` jvjg wbjg tbkt pjrsog skys soljtbeg`

ckisj.

4>. Ec k pjrsog skys ‒4 + 4 < =― dut es tbegaeg` ‒4 + 4 < :―, tbj pjrsog skys tbkt wbefb èvjs

you go rjksog to tbega tbkt tbj pjrsog es tbegaeg` tbkt wbefb esg―t truj. Hust djfkusj

soljogj skys soljtbeg` truj, mojsg―t ljkg wbkt tbj pjrsog es tbegaeg` es gjfjsskreiytruj. ]bjrj es kiwkys tbj possedeiety tbkt tbj pjrsog skys k trutb wbjg tbj pjrsog ljkgs k

ckisety. Bjgfj, mo got dj quefa to tbega tbkt soljogj wbo skys wbkt you k`rjj wetb es

soljogj wbo tbegas ieaj you. K pjrsog lky dj wrog` jvjg wbjg tbkt pjrsog skyssoljtbeg` truj.

4;. Ec soljogj skys ‒> + > + > + > + 4 + 4 < =― kgm soljogj jisj skys ‒4 + 4 < =―, tbj two

pjopij sky tbj sklj tbeg` kgm yjt sky soljtbeg` meccjrjgt. Et es elportkgt otbjrsrjfo`gezj tbkt tbjy mog―t mesk`rjj or fogcuseog lky jgsuj.

44. Ec k pjrsog es lotevktjm to sky ‒4 + 4 < :― dut skys ‒4 + 4 < =―, tbj pjrsog skys soljtbeg`tbkt es truj mjspetj bkveg` tbj wrog` lotevkteogs. Ec tbj opposetj wjrj to offur, tbj

pjrsog wouim sky soljtbeg` tbkt es ckisj mjspetj bkveg` tbj re`bt lotevkteogs. Bjgfj,

trutb kgm lotevkteog krjg―t tbj sklj tbeg`, kgm fogcuseg` tbjl kgm/or spjkaeg` kdouttbjl ks tbj sklj es jrrogjous.

46. Ec soljogj skys ‒4 + 4 < =― kgm soljogj jisj skys ‒6 + 6 < 3―, tbj two dotb sky

soljtbeg` tbkt es truj, kgm yjt tbjy sky soljtbeg` tbkt es meccjrjgt. Et wouim dj ckisj tosky tbkt ‒(4 + 4 < =) < (6 + 6 < 3)―.

4=. Ec soljogj skys ‒4 + 4 < =― kgm soljogj jisj skys ‒4 + 6 ‖ ; < =―, tbj two dotb sky

soljtbeg` tbkt es truj, kgm tbou`b tbjy dotb krrevj kt tbj sklj jgm, tbjy sky et (kgm/or‒`jt tbjrj―) eg meccjrjgt wkys. ]bou`b = < = kgm tbou`b ‒(4 + 4 < =) < (4 + 6 ‖ ; < =)―, et

es got tbj fksj tbkt ‒4 + 4 < =― es tbj sklj ks ‒4 + 6 ‖ ; < =―. Vkljgjss kgm jqukiezkteog

krjg―t tbj sklj, jvjg wbjg tbjy fogvjr`j upog tbj sklj jgm.



4:. Ec E sbkaj ^rjsemjgt Odklk―s bkgm, rug to dj k Tjpudiefkg fkgmemktj, stkgm og tbj @rjkt

Pkii oc Fbegk, jtf., kgm E sky ‒4 + 4 < =―, E sky soljtbeg` tbkt es truj. Vurrougmeg` kgm/or

kfteog mo got fbkg`j tbj trutb or ckisety oc k stktjljgt, tbou`b tbjy lky egciujgfj wbkt esskem.

43.

Ec E sky ‒4 + 4 < =― kgm soljogj es occjgmjm, klusjm, mjie`btjm, lotevktjm, jtf., lystktjljgt djfoljs gjetbjr lorj or ijss truj.

40. Ec E sky ‒4 + 4 < =― kgm soljogj rjpiejs ‒you―rj k iekr―, tbkt pjrsog iejs. Ec E sky ‒4 + 4 <

:― kgm E weg k Godij ^rezj ks k rjsuit, E steii sky soljtbeg` tbkt es ckisj. Jxtjrgkietejs mogot lkaj wbkt es truj ckisj or wbkt es ckisj truj, tbou`b tbjy lky lkaj trutb kgm ckisety

lorj meccefuit to mjtjrlegj.

42. Ec ly sourfj crol wbefb E ijkrgjm 4 + 4 < = es jetbjr k Gkze, k Iedjrki, k Tkfest, kFogsjrvktevj, k Follugest, k Fbrestekg, jtf., E steii ijkrgjm soljtbeg` truj kgm eg k sjgsj

E ijkrgjm crol k ‒òom sourfj― (egsolufb ks E ijkrgjm crol tbkt sourfj soljtbeg` tbkt es

truj). Ec ly sourfj crol wbefb E ijkrg ‒4 + 4 < :― es tbj Bkrvkrm Tjvejw, Fbrestekgety]omky, ]bj Jfogolest, jtf., E steii ijkrgjm soljtbeg` ckisj kgm eg k sjgsj E ijkrgjm crol k

‒dkm sourfj―. Bjgfj, tbj sourfj crol wbefb soljtbeg` es ijkrgjm mojsg―t lkaj tbkt

soljtbeg` kgy lorj or ijss truj, tbou`b ‒dkm sourfjs― bkvj k be`bjr pr odkdeiety oc

fogtkegeg` ckisetejs, kgm vefj-vjrsk.

45. Ec E agow ogj tbeg` kgm tbkt es 4 + 4 < =, jvjrytbeg` E agow es truj.

6>. Ec E agow k leiieog tbeg`s kgm ogj oc tbj tbeg`s E agow es 4 + 4 < :, got jvjrytbeg` E

agow es truj.

6;. Ec Betijr skys ‒4 + 4 < =― kgm Lotbjr ]jrjsk skys ‒4 + 4 < :―, Betijr es re`bt kgm Lotbjr]jrjsk es wrog`.

64. Ec soljogj skys ‒4 + 4 < =― kgm ‒6 + 6 < 0―, tbj pjrsog skys soljtbeg` tbkt es truj kgmsoljtbeg` tbkt es ckisj, dut tbj ckft tbj pjrsog skem soljtbeg` ckisj mojsg―t lkaj tbj

uttjrjm trutb kgy lorj or ijss truj, gor mojs tbj ckft tbj pjrsog skem soljtbeg` truj lkaj

tbj ckisety kgy lorj or ijss ckisj.

66. Ec k feveiezkteog mjdktjs cor k fjgtury djcorj mjfemeg` tbkt 4 + 4 < =, et es tbj fksj tbkt 4 +

4 < = tbj wboij telj. Ec kgotbjr feveiezkteog votjs to tjkfb tbkt 4 + 4 < =, et es tbj fksj tbkt

4 + 4 < = rj`krmijss tbj merjfteog oc tbj votj, kgm sufb wouim bkvj djjg tbj fksj jvjg ectbjrj bkm djjg go votj. ]bj mjfeseog to kfagowijm`j soljtbeg` ks truj mojsg―t lkaj et

kgy lorj or ijss truj, tbou`b et lky sjjl otbjrwesj. Ikstiy, ec tbj lkhorety votjm tbkt 4 +

4 < :, tbes wouim got ljkg tbkt 4 + 4 < : es trujr tbkg 4 + 4 < =, tbou`b et lky sjjl ks

sufb.

6=. Ec k sofejty gjvjr ijkrgs kdout guldjrs or gjvjr tbegas eg tjrls oc lktb, et es steii tbj fksj

tbkt 4 + 4 < =, jvjg tbou`b tbes trutb lky bkvj go ljkgeg` to tbkt feveiezkteog.Fogsemjreg` tbes, ljkgeg` kgm trutb krj got tbj sklj.



6:. Ec k pjrsog ijkrgs tbrou`b jvei kgm lkgepuiktevj propk`kgmk tbkt 4 + 4 < =, tbj pjrsog

ijkrgs soljtbeg` truj crol propk`kgmk. Ec tbj pjrsog ijkrgs 4 + 4 < : crol tbj BkrvkrmTjvejw, tbj pjrsog ijkrgs wbkt fouim dj fkiijm propk`kgmk crol k rjspjftkdij sourfj.

63.

]bj pjrsog wbo tjiis you ‒4 + 4 < :― lkiefeousiy skys tbj sklj tbeg` ks soljogj wbotjiis you ‒4 + 4 < :― dy kffemjgt. Bjgfj, worms kgm egtjgteogs krj got tbj sklj.

60. Ec you sky you wkgt to sky soljtbeg` tbkt es truj kgm tbjg sky ‒4 + 4 < :―, you sky

soljtbeg` ckisj. Ec you sky you wkgt to sky soljtbeg` tbkt es truj kgm tbjg sky ‒4 + 4 <=―, your profikeleg` tbkt you wkgtjm to sky soljtbeg` truj mem got lkaj your truj

stktjljgt kgy lorj or ijss truj.

62. Ec k pjrsog bks k deks towkrm lktb djfkusj tbj pjrsog wks k lktb lkhor, kgm tbkt pjrsogskys ‒4 + 4 < =―, tbkt pjrsog skys soljtbeg` truj, kgm tbj Jgìesb lkhor wetbout tbj deks

wbo skys ‒4 + 4 < :― es wrog`. Ec k lktb lkhor skys (wbjg bj―s mruga) ‒4 + 4 < :―, tbj

jxpjrt skys soljtbeg` ckisj (kgm pjrbkps, eg tbkt kft, es bkrm to tjii kpkrt crol soljogjwetb k meccjrjgt lkhor kgm/or k aegmjr`krtjgjr).

65. Ec you bkvj k ^b.M. kgm sky ‒4 + 4 < :― kgm tbj pjrsog you krj spjkaeg` to memg―t

`rkmuktj crol be`b sfbooi kgm skys dkfa ‒4 + 4 < =―, you―rj wrog` kgm tbj be`b sfbooimropout es re`bt.

=>. Ec et wks elpossedij to jxprjss eg kgy wky ‒4 + 4 < =― dut E fouim jxprjss ‒4 + 4 < :―,wbkt E fouim jxprjss wouimg―t dj kgy lorj truj tbkg wbkt E fouimg―t. Pbkt es tr uj kgm

wbkt fkg dj jxprjssjm esg―t gjfjsskreiy tbj sklj tbeg`1 ieajwesj, vkiemety kgm

prkftefkdeiety krj meccjrjgt. ^jrbkps k ‒4 + 4 < =― tbkt fouimg―t dj jxprjssjm wouim dj

ljkgegìjss, dut tbkt wouimg―t ljkg et wksg―t truj. Pbkt es truj kgm wbkt es ljkgeg`cuikrjg―t gjfjsskreiy tbj sklj.

=;. Ec E sky ‒4 + 4 < =― k bugmrjm teljs kgm tbjg sky ‒4 + 4 < :―, E sky k bugmrjm truj tbeg`s,kgm ogj ckisj tbeg`. Ieajwesj, ec E sky ‒4 + 4 < =― k bugmrjm teljs, et mojsg―t gjfjsskreiy

ljkg E weii sky soljtbeg` truj wbjg E spjka k`keg (to kiiumj to tbj tbou`bt oc Mkvem

Bulj).

=4. Ec et wjrj pkssjm egto ikw tbkt 4 + 4 < =, et wouimg―t djfolj kgy lorj or ijss truj. Ec et

wjrj pkssjm egto ikw tbkt 4 + 4 < :, et wouim steii dj truj tbkt 4 + 4 < =, tbou`b ogj le`bt

dj lorj ugfjrtkeg sufb es tbj fksj, sjjeg` ks skyeg` sufb wouim fogtrkmeft wbkt tbj poiefj jgcorfjm kgm wbkt tbj ikw profikeljm. Ikw tjkfbjs1 ikw kmms ugfjrtkegty.

=6. Ec tbjrj wks k twjgty yjkr fklpke`g to ce`bt cor tbj re`bt to sky ‒4 + 4 < =― dy tbosj wbo

wjrj corfjm dy ikw to sky ‒4 + 4 < :―, kgm tbkt fklpke`g wog, et wks tbj fksj tbkt 4 + 4 <= tbj wboij telj kgm rj`krmijss ec tbj fklpke`g jvjr fklj egto jxestjgfj.



==. Ec tbjrj wks k twjgty yjkr fklpke`g to ce`bt cor tbj re`bt to sky ‒4 + 4 < :― dy tbosj wbo

wjrj corfjm to sky ‒4 + 4 < =―, kgm tbkt fklpke`g wog, tbj fklpke`g―s jccort wouimg―t

bkvj lkmj ‒4 + 4 < :― truj, ogiy lkmj et sjjl ks tbou`b sufb wks tbj fksj.

=:. Ec you wouimg―t djiejvj tbkt 4 + 4 < = ugtei E provjm to you 4 + 4 < =, et wouim steii dj tbj

fksj djcorj kgm kctjr tbj prooc ‖ kgm rj`krmijss ly ijvji oc suffjss kt fogvegfeg` you ‖ tbkt 4 + 4 < =.

=3. Ec E fogvegfjm you tbkt 4 + 4 < :, et wouim steii dj tbj fksj tbkt 4 + 4 < =.

=0. Ec k pjrsog wkgtjm to iej to lj kgm toim lj tbkt ‒4 + 4 < =―, tbj pjrsog wouim bkvj toim

lj soljtbeg` tbkt es truj.

=2. Ec E djiejvj rjieèousiy, sfejgtecefkiiy, speretukiiy, jloteogkiiy, jlperefkiiy, kdstrkftiy, pbeiosopbefkiiy, fogfrjtjiy, jtf., tbkt 4 + 4 < =, E djiejvj soljtbeg` tbkt es truj.

=5.

Ec E kl k bugmrjm pjrfjgt fjrtkeg tbkt 4 + 4 < :, E kl k bugmrjm pjrfjgt wrog`.

:>. E kl ogj pjrfjgt fjrtkeg tbkt 4 + 4 < =, E kl k bugmrjm pjrfjgt re`bt.

:;. Ec E kl boimeg` k lemmij ceg`jr towkrm you kgm sky ‒4 + 4 < =―, E tjii you soljtbeg` tbktes truj.

:4. Ec tbj ^rjsemjgt, tbj FJO oc @ooìj, Kidjrt Jegstjeg, jtf. skys ‒4 + 4 < =―, tbes uttjrkgfjoc k trutb mojsg―t kmm kgy ‒frjmedeiety― to tbj pjrsog―s stktus, cor tbes wouim bkvj djjg

truj bkm et djjg skem dy tbj poorjst, ijkst jmufktjm, jtf. pjrsog og jkrtb. ‒Skiemety― kgm

‒frjmedeiety― krj got seleijs.

:6.

Ec E wjrj to sky ‒4 + 4 < =―, tbou`b wbkt E sky es truj, et kmms go lorj or ijss trutb to tbj

gjxt tbeg` E sky, or tbj tbeg` E skem k wjja kò.

:=. Ec bulkgs memg―t bkvj drkegs, et wouim dj tbj truj tbkt 4 + 4 < =, tbou`b pjrbkps got eg

kgy ljkgeg`cui sjgsj. Kgm wbkt jxkftiy es k ‒ljkgegìjss trutb― fkggot dj jxpikegjm

ljkgeg`cuiiy, et sjjls.

::. Ec k fbeim skem ‒4 + 4 < =― wbeij tbj wesjst jimjr skem ‒4 + 4 < :―, tbj fbeim wouim dj re`bt

kgm tbj jimjr wouim dj wrog`. Bjgfj, telj, k`j, kgm/or jxpjrejgfj mog―t lkaj k trutb

kgy lorj or ijss truj, tbou`b et le`bt dj lorj prodkdij tbkt kg jimjr wouim skysoljtbeg` truj tbkg et wouim dj cor k fbeim. Bowjvjr, wbkt es prodkdij kgm wbkt es

mjcegetj krj meccjrjgt tbeg`s.

:3. Ec k pjrsog wjrj to dj rjkmeg` k lktb tjxtdooa, or hust cegesbjm stumyeg` lktb cor je`btyyjkrs, kgm skem to you ‒4 + 4 < :―, tbj pjrsog wouim spjka soljtbeg` tbkt wks ckisj, kgm

ec bj tbjg skem ‒6 + 6 < 3―, tbj pjrsog wouim sky soljtbeg` tbkt wks truj rj`krmijss oc ec

bj wouim bkvj rjkm kgm/or stumejm kgytbeg` kt kii. ‒Djeg` wjii-rjkm― kgm ‒skyeg`soljtbeg` truj― krj got tbj sklj tbeg`.



:0. Ec k stumy dkfajm dy k deiieog moiikr òvjrgljgt `rkgt mjtjrlegjm ‒4 + 4 < :―, tbkt stumy

mjtjrlegjm soljtbeg` tbkt wks ckisj.

:2. Ec you sky ‒4 + 4 < =― kgm cjji stupem, ljkg, egfogsemjrktj, e`gorkgt, jtf., you steii sky

soljtbeg` tbkt es truj.

:5. Ec you sky ‒4 + 4 < :― kgm cjji dreiiekgt, fogsemjrktj, egse`btcui, jtf., you steii sky

soljtbeg` tbkt es ckisj.

3>. Ec you sky ‒4 + 4 < =― kgm your teleg` es occ, you sky tbkt wbefb es truj, kgm ec you sky ‒4

+ 4 < :― kgm your teleg` es pjrcjft, you sky tbkt wbefb es ckisj.

3;. Ec you sky ‒4 + 4 < =― kgm you krj frufecejm cor skyeg` et, you krj frufecejm cor skyeg`soljtbeg` tbkt es truj, tbou`b djeg` frufecejm eg go wky lkajs wbkt you sky lorj or ijss

truj.

34.

Ec you sky ‒4 + 4 < :― kgm you krj lkmj ^rjsemjgt cor skyeg` et, you krj jijftjm cor skyeg`

soljtbeg` tbkt es ckisj, tbou`b djeg` jijftjm eg go wky lkajs wbkt you sky lorj or ijss

ckisj.

36. Ec soljogj tjiis you tbkt ‒4 + 4 < = es bkrm to ugmjrstkgm, djkutecui, k stupem emjk, k

dreiiekgt emjk, ogiy djiejvjm dy Iedjrkis, mesprovjg dy Jegstjeg, se`gecejs gotbeg ,̀ es

prolotjm dy tbj Aofb drotbjrs, jtf.―, tbj pjrsog mjsfredjs k trutb kgm tbj mjsfrepteogs tbj pjrsog usjs mojsg―t lkaj tbj trutb kgy lorj or ijss truj.

3=. Ec soljogj skys ‒4 + 4 < =― eg ormjr to elpiy tbkt kii otbjr guldjrs krj egcjreor, to elpiy

‒4 + 4 < =―-supjreorety, to mesrjspjft, mj`rkmj, jtf., tbj pjrsog steii skys soljtbeg` truj,tbou`b tbj lotevkteog oc tbj uttjrkgfj le`bt dj ellorki, wrog`, jtf. (bjgfj lkaeg` tbj

trutb meccefuit to mesfjrg).

3:. Ec k cugmkljgtkiest jxtrjlest skys ‒4 + 4 < =― wbeij k lomjrktj fikels ‒4 + 4 < :―, tbj

cugmkljgtkiest jxtrjlest skys soljtbeg` truj wbeij tbj lomjrktj skys soljtbeg` ckisj.

33. Ec tbj vkiujs oc tbj fougtry sbect crol 4 + 4 < = to 4 + 4 < :, truj vkiujs sbect to ckisj

vkiujs (cor wbktjvjr rjksog).

30. Ec tbj Vuprjlj Fourt ruijs tbkt 4 + 4 < = es eiij`ki, tbj Vuprjlj Fourt ruijs soljtbeg`truj es eiij`ki.

32. Ec k pjrsog es jetbjr kdkgmogjm ks k slkii doy, stumejm ugmjr Kidjrt Jegstjeg, gjvjr wjgt

to sfbooi, succjrjm kdusj, rodjm k dkga, sbot tbj ôpj, djfklj tbj ôpj, jtf., kgm tbj pjrsog skys ‒4 + 4 < :―, tbj pjrsog skys soljtbeg` tbkt es ckisj. Ec tbj sklj pjrsog skys ‒4

+ 4 < =―, tbj pjrsog skys soljtbeg` tbkt es truj.



35. Ec cor k tbouskgm yjkrs k sofejty djiejvjm 4 + 4 < = kgm tbjg ogj mky stkrts to djiejvj 4 +

4 < :, tbj sofejty, eg djfoleg` pro`rjssevj, djfoljs ckisjr. Fogvjrsjiy, ec cor k tbouskgm

yjkrs k sofejty djiejvjm 4 + 4 < : kgm tbjg ogj mky stkrts to djiejvj 4 + 4 < =, pro`rjssevesl lkmj tbj sofejty trujr. Ikstiy, ec et es wjii agowg crol bestory tbkt 4 + 4 <

:, et wouim dj tbj fksj tbkt soljtbeg` wjii agowg crol bestory es ckisj.

0>. Ec k pjrsog skys bj bktjs Kljrefk, iovjs Follugesl, bktjs woljg, wkgts to aeii kiiHjws, jtf., kgm tbjg skys ‒4 + 4 < =―, tbj pjrsog―s preor stktjljgts wouimg―t lkaj bes or

bjr truj stktjljgt kgy lorj or ijss truj, tbou`b tbj pjrsog―s preor stktjljgts lky lkaj

pjopij wkgt gotbeg` to mo wetb tbj pjrsog.

0;. Ec tbjsj cevj jqukteogs krj og k dokrm ‖ ; + ; < 6, 4 + 4 < =, 6 + 6 < 0, = + = < 5, : + : <

;; ‖ et wouim dj jrrogjous to sky ‒jvjrytbeg` og tbj dokrm es ckisj―, tbou`b et wouim dj

tbj fksj tbkt lost oc et es ckisj. Curtbjrlorj, ec soljogj wjrj to sky ‒wj sbouim ajjp og tbj dokrm wbkt es truj kgm tbrow out wbkt es ckisj―, tbj pjrsog esg―t skyeg` tbkt

‒jvjrytbeg` og tbj dokrm es truj―, kgm tbj pjrsog sbouimg―t dj kffusjm oc skyeg` sufb (kgm

djeg` fogsemjrjm kg emeot fogsjqujgtiy). Ikstiy, ec tbj jgterj dokrm wjrj mesfkrmjm, tbeswouim elpiy jvjrytbeg` og et wks ckisj, kgm tbes wouimg―t dj truj (jvjg tbou`b lost oc

wbkt wks og tbj dokrm wks ckisj).

04. Ec k pjrsog fikeljm tbkt wj lust kppjki to k profjss to mjtjrlegj wbjtbjr or got 4 + 4 <=, tbj pjrsog wouim fikel tbkt wj lust kppjki to k profjss to mjtjrlegj soljtbeg` tbkt es

truj rj`krmijss ec tbjrj es k profjss. Bowjvjr, ec et es tbj fksj tbkt et fkggot dj (hustiy,

jlperefkiiy, ckeriy, jtf.) mjtjrlegjm tbkt 4 + 4 < = wetbout tbes profjss, tbjg tbes profjsses gjfjsskry to mjtjrlegj tbj trutb, jvjg ec otbjrs krj k`kegst tbj profjss og `rougms tbkt

k trutb es kiwkys k trutb (kgm tbkt kii sufb k profjss fkg mo es mjiky tbj kfagowijm`ljgt

dy tbj sofejty oc k trutb, potjgtekiiy mjgyeg` tbj sofejty oc tbkt wbefb et bks k re`bt to

agow). Ikstiy, k pjrsog fouim krùj tbkt fkrryeg` out sufb k profjss (to vjrecy trutb)wouim dj ellorki (èvjg tbkt et es truj) vjrsus hust strke`bt pksseg` egto ikw 4 + 4 < =, dut

ec et es tbj fksj tbkt sufb k merjft kfteog wouim rjsuit eg pjopij got agoweg` tbj trutb,

rjsjgteg` tbj trutb, got cktboleg` tbj trutb, jtf., tbjg tbj profjss es gjfjsskry.

06. Ec corfjm dy rjieèog, pjjr prjssurj, totkietkrekgesl, pkrjgts, jtf. to djiejvj 4 + 4 < =, tbj

pjrsog es corfjm to djiejvj tbkt wbefb es truj.

0=. Tj`krmijss ec 4 + 4 < = es rkteogki, errkteogki, provjg, ugprovjg, tjstjm, ugtjstjm, jtf., et es

truj tbkt 4 + 4 < =.

0:. Ec you rjkm 4 + 4 < : eg k dooa kgm lesrjkm et ks skyeg` 4 + 4 < =, djfkusj you lesrjkm,

you ijkrgjm soljtbeg` truj (tbj sklj fkg dj skem kdout soljogj wbo lesbjkrs,

lesugmjrstkgms, jtf.). Veleikriy, ec you rjkm k tjxt tbkt skys 4 + 4 < :, dut djfkusj oc tbj

fretefki tbjory you rjkm tbj tjxt tbrou`b, you ugmjrstkgm tbj tjxt ks skyeg` 4 + 4 < =, djfkusj oc your tbjory ‖ wbefb fouim dj ckisj ‖ you rjkm crol ckisety kg ugmjrstkgmeg`

tbkt es truj. ]bj fogvjrsj kiso kppiejs.



03. Ec soljogj skem ‒ec pjopij rjkm tbjer lktb tjxtdooas, tbjy―m agow 4 + 4 < :―, tbj pjrsog

fikels tbkt ec pjopij rjkm tbkt wbefb wouim egcorl tbjl kdout wbkt es truj, tbjy wouim

djiejvj tbkt wbefb es ckisj. Curtbjrlorj, ec soljogj rjkm tbjer lktb tjxtdooa kgm djiejvjm 4 + 4 < :, tbjy wouim djiejvj tbkt wbefb wks ckisj, wbeij soljogj wbo memg―t

rjkm tjxtdooas dut djiejvjm 4 + 4 < = wouim djiejvj soljtbeg` tbkt es truj.

00. Ec et gjvjr frossjs soljogj―s legm tbkt 4 + 4 < =, et es steii tbj fksj tbkt 4 + 4 < =. Bjgfj,wbkt k pjrsog tbegas mojsg―t lkaj wbkt es truj kgy lorj or ijss truj.

02. Voljogj wbo mojsg―t bkvj kgy sourfjs dut djiejvjs 4 + 4 < = wouim dj k pjrsog wbo djiejvjs soljtbeg` tbkt es truj, wbeij soljogj wetb sourfjs wbo djiejvjs 4 + 4 < :

wouim djiejvj soljtbeg` tbkt es ckisj. Bjgfj, tbj prjsjgfj oc sourfjs mojsg―t gjfjssetktj

tbj prjsjgfj oc trutb.

05. Voljogj wbo es mjmefktjm to agoweg` jvjrytbeg` truj kdout lktb wbo djiejvjs 4 + 4 <

=, es k pjrsog wbo djiejvjs tbj sklj ks soljogj wbo kffemjgtkiiy rjkiezjs tbkt 4 + 4 < =.

2>.

Ec k pjrsog skys ‒4 + 4 < =― kgm soljogj jisj skys tbkt fikel fkggot dj lkmj, segfj tbj

fikel fkggot dj vjrecejm kgm/or ckisecejm, sjjeg` ks guldjrs fkggot dj jlperefkiiy

odsjrvjm, et wouim steii dj tbj fksj tbkt 4 + 4 < =, jvjg tbou`b pjrbkps et―s got ‒truj― eg

tbj sklj wky otbjr tbeg`s krj ‒truj―.

2;. Ec tbjrj wks k ìodki protjst profikeleg` ‒4 + 4 < :―, et wouim steii dj tbj fksj tbkt 4 + 4<

=.

24. Ec you spjka up eg fikss kgm sky ‒4 + 4 < :― kgm your tjkfbjr trjkts you ieaj kg emeot, your

tjkfbjr trjkteg` you pooriy mojsg―t lkaj 4 + 4 < = kgy lorj or ijss truj. Ieajwesj, ec you

fkggot sky ‒4 + 4 < =― wetbout `jtteg` aeiijm or bktjm, et es steii tbj fksj tbkt 4 + 4 < =, kset es tbj fksj tbkt 4 + 4 < : es ckisj jvjg ec you fkg―t sky ‒4 + 4 < :― wetbout `jtteg` aeiijm.

Bjgfj, tbj wky soljogj trjkts soljogj wbo skys soljtbeg` truj or ckisj mojsg―t lkaj

wbkt es skem kgy lorj truj or ckisj.

26. Ec k lkg wks to tjii k iog`, pksseogktj, kgm djkutecui story kdout wby 4 + 4 < :, fryeg` occ

kgm og tbrou`bout, ikljgteg` kdout bow opprjssjm bj wks dy tbosj wbo skem ‒4 + 4 < =―,et wouim steii dj tbj fksj tbkt 4 + 4 < =.

2=. Ec go ogj eg bulkg bestory jvjr skem ‒4 + 4 < =―, et wouim steii dj tbj fksj tbkt 4 + 4 < =.

2:. Ec k spjkajr es skyeg` ‒4 + 4 < =― kgm E egtjrrupt tbjl kgm kl prkesjm cor elpjmeg` og

tbjer crjjmol oc spjjfb eg tbj gklj oc hustefj, et es steii tbj fksj tbkt tbj spjkajr skem tbkt

wbefb es truj.

23. Ec k pjrsog sougms ieaj k deòt, sjxest, emeots, rkfest, jtf. wbjg tbj pjrsog skys ‒4 + 4 < =―,

tbj pjrsog skys k trutb eg k deòtjm, sjxest, emeotef, rkfest. jtf., wky. Bjgfj, (tbj

kppjkrkgfj oc) prjhumefj mojsg―t kccjft tbj vkiemety oc k trutb.



20. Ec k pjrsog skys ‒E bktj woljg kgm 4 + 4 < =―, tbj pjrsog―s bktjcui stktjljgt mojsg―t

lkaj 4 + 4 < = kgy lorj or ijss truj.

22. Ec you sky ‒4 + 4 < =― kgm soljogj jetbjr skys tbkt you―r j odveousiy ugjmufktjm,

egsuiteg`, lesrjprjsjgteg` tbj ckfts, lesrjkmeg` bestory, tkaeg` tbeg`s out oc fogtjxt, jtf.,

you steii sky soljtbeg` tbkt es truj.

25. Ec rjieèous pkrjgts rjcusj to ijt tbjer fbeim ò out egto sofejty djfkusj tbj pkrjgts krj

kcrkem oc wbkt tbj sofejty lky tjkfb tbj fbeim, kgm tbosj pkrjgts tjkfb tbjer fbeim 4 + 4 <

=, tbosj pkrjgts tjkfb tbjer fbeim soljtbeg` tbkt es truj.

5>. Ec your cktbjr kdusjm, iovjm you, memg―t tkaj you to dksjdkii `kljs, pikyjm fktfb wetb

you, iovjm your lotbjr, memg―t iovj your lotbjr, jtf., kgm tku`bt you 4 + 4 < =, your

cktbjr tku`bt you soljtbeg` tbkt es truj.

5;. Ec you djiejvj 4 + 4 < = cor emjoioèfki rjksogs, you djiejvj soljtbeg` tbkt es truj

djfkusj oc your emjoio`y.

54. Ec tbjrj es sufb tbeg` ks ‒guldjr crkèiety― kgm pjopij krj sfkrjm to tkia kdout guldjrs, et

es steii tbj fksj tbkt 4 + 4 < =, kgm tbkt, dy jxtjgseog, et esg―t tbj fksj tbkt 4 + 4 < :.

56. Ec skyeg` ‒4 + 4 < =― es kssofektjm wetb opprjsseg` pjopij wbo mog―t ieaj lktb, et es steii

tbj fksj tbkt 4 + 4 < =.

5=. Ec E bktj guldjrs kgm tbj rjksog E dreg` 4 + 4 < = djcorj tbj Vuprjlj Fourt es eg ormjr to

outikw guldjrs dy lkaeg` k fksj tbkt djfkusj E mog―t ijkrg lktb wjii, tbjy sbouimg―t dj

tku`bt eg sfbooi, djfkusj tbkt mesfrelegktjs k`kegst lj, kgm tbj Vuprjlj Fourt ruijm eg

ly ckvor, et wouim steii dj tbj fksj tbkt 4 + 4 < =.

5:. Ec E skem wj sbouim ijt tbj Vtktjs mjfemj ec 4 + 4 < =, E kl got skyeg` tbkt 4 + 4 < :, kgm et

es steii tbj fksj tbkt 4 + 4 < =, jvjg ec tbj rjksog E kppjkijm to tbj Vtktjs es djfkusj Esjfrjtiy bktj guldjrs or djfkusj E tbega ec guldjrs krj corfjm mowg tbj tbrokts oc

Kljrefkgs dy tbj Vuprjlj Fourt, Kljrefkgs weii folj to rjsjgt tbjl.

53. Ec soljogj wbo cjit opprjssjm dy 4 + 4 < = djeg` tku`bt eg sfboois wetbout mjlofrktef

votj wjrj to sky, ‒E wouim bkvj gjvjr jxpjftjm cor lktb tjkfbjrs eg Kljrefkg got to

ugmjrstkgm tbj gjjm to èvj pjopij tbj kdeiety to fboosj cor tbjlsjivjs tbkt 4 + 4 < =―, et

wouim steii dj tbj fksj tbkt 4 + 4 < =.

50.

Ec soljogj skem ‒E worajm ks bkrm ks E fouim kgm tbj djst E fouim mo wks 4 + 4 < :―, kii

tbj pjrsog―s jccorts wjrj put towkrm soljtbeg` tbkt es ckisj.

52. Ec you krùjm tbkt 4 + 4 < : kgm wog tbj mjdktj wetb ;>>% oc tbj votjs, you uttjriy wog

tbj mjdktj dy krùeg` cor wbkt es ;>>% ckisj.



55. Ec k pjrsog òjs to wretj 4 + 4 < = kgm wretjs 4 + 4 < :, tbj pjrsog egtjgmjm to wretj

soljtbeg` tbkt es truj, dut wrotj soljtbeg` tbkt es ckisj. Bjgfj, egtjgteog kgm vkiemety krj

got tbj sklj tbeg`.

;>>. Ec lktb tjxtdooas wjrj rjwrettjg to sky ‒4 + 4 < :―, et wouim steii dj tbj fksj tbkt 4 + 4 <

=, tbou`b pjrbkps got eg kgy mjcegkdij or ljkgeg`cui sjgsj.

;>;. Ec k `roup wjrj jg`k`jm eg k fuiturj wkr tbkt tbjy wjrj mjstegjm to iosj eg mjcjgsj oc tbj

fikel tbkt 4 + 4 < :, tbkt `roup wouim dj mjstegjm to iosj ovjr soljtbeg` tbkt es ckisj. Ec

tbjy mjcjgmjm 4 + 4 < =, tbjy wouim dj mjstegjm to iosj ovjr soljtbeg` tbkt es truj. Ec tbj`roup es ksajm to ‒iky mowg tbjer krls― kgm/or folprolesj kgm kffjpt 4 + 4 < :, tbj

`roup es ksajm to kffjpt pjkfj ovjr k prjlesj tbkt es ckisj.

;>4. Ec E djiejvjm 4 + 4 < = cor go otbjr rjksog tbkg to occjgm you, tbjg E wouim djiejvj egsoljtbeg` tbkt es truj cor k lkiefeous rjksog.

;>6.

Ec E wjrj to sky ‒4 + 4 < =― kgm soljogj rjspogmjm ‒you mog―t agow wbkt et―s ieaj`roweg` up tbegaeg` 4 + 4 < :!―, E wouim steii sky soljtbeg` truj. Ec E wjrj to sky ‒4 + 4 <

:― kgm soljogj skem ‒ly cktbjr tku`bt lj tbj sklj―, E steii sky soljtbeg` tbkt es ckisj.

;>=. Ec ly òki eg iecj es to sprjkm iejs kdout lktb kgm E sky ‒4 + 4 < =―, E sky soljtbeg` tbkt estruj.

;>:. Ec E djiejvjm 4 + 4 < = dut djfkusj E bkm k guldjr oc dkm lktb tjkfbjrs E stop djiejvegèt, et wouim steii dj tbj fksj tbkt 4 + 4 < =.

;>3. Ec E sbot soljogj djfkusj bj wouimg―t djiejvj 4 + 4 < :, E lurmjr soljogj cor got

djiejveg` wbkt es ckisj.

;>0. Ec E sky ‒4 + 4 < :― coiiowjm dy soljtbeg` wetty, et mojs got djfolj tbj fksj tbkt 4 + 4 <

:

;>2. Ec et es djfkusj oc preveij`j, deksjs, prjhumefjs, jtf. tbkt E djiejvj 4 + 4 < = ‖ kgm ec ly

lotevjs krj fogsjqujgtiy qujsteogjm ‖ et es got tbj fksj tbkt E kl wrog` cor djiejveg` 4 +4 < =. Bjgfj, ogj―s rjksogs cor djiejveg` soljtbeg` mog―t lkaj wbkt es djiejvjm kgy

lorj or ijss truj.

;>5. Ec you krj og tbj re`bt or wrog` semj oc bestory kgm djiejvj 4 + 4 < =, you djeg` og k semjoc bestory mojsg―t lkaj wbkt you djiejvj kgy lorj or ijss truj. Veleikriy, ec you djiejvj

4 + 4 < : kgm krj og ‒tbj re`bt semj oc bestory― cor djiejveg` sufb, tbj re`bt semj oc bestory

es tbj wrog` semj oc bestory.

;;>. Ec ogj pjrsog, two pjopij…jvjryogj djiejvjm 4 + 4 < :, et wouim steii dj tbj fksj tbkt 4 +

4 < =. Bjgfj, tbj guldjr oc pjopij wbo djiejvj soljtbeg` mojsg―t lkaj k trutb lorj or

ijss truj.



;;;. Ec eg tbj bestory oc tbj worim, jvjryogj skem ‒4 + 4 < :―, dut ogfj, soljwbjrj, soljbow,

soljogj skem ‒4 + 4 < =―, tbjg eg tbj bestory oc tbj worim, ogfj, soljogj skem soljtbeg`

tbkt wks truj.

(Kiks, wbkt trutbs kppjkr ieaj 4 + 4 < =?)

O.@. Tosj0-6-;:

Documents

Basic Math by O.G. Rose