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Foundations of Algebra Name Compound Inequalities REVIEW/PRACTICE :) Solve each compound inequality and graph its solution. 1) 0<--<2 2) -5n>20or-->O 4 5 Date Period ID: 1 3) ~-<4orn+2> 12 4) b-7>3orb-6<-4 5) -32<4n<28 6) 2<9+p<13 7)--b>lor-7b>-7 8 8) x --> 1 or-6+x< 1 9

# Compound Inequalities REVIEW/PRACTICE :) Date Period...Compound Inequalities REVIEW/PRACTICE :) Solve each compound inequality and graph its solution. 1) 0O

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Foundations of Algebra Name

Compound Inequalities REVIEW/PRACTICE :)

Solve each compound inequality and graph its solution.

1) 0<--<2 2) -5n>20or-->O4 5

Date Period

ID: 1

3) ~-<4orn+2> 124) b-7>3orb-6<-4

5) -32<4n<28 6) 2<9+p<13

7)--b>lor-7b>-78

8) x--> 1 or-6+x< 19

9) -3+k>7ork+7<16 10) 3<n+1<8

11) 8 - 4n > -8 and 2n - 8 > -24 12) -2 + 4x >-34 and 2x + 3 <-1

13) -7 - 7r >-7 or-8r + 3 <-45 14) 2 - a < 2 or -5 + 6a < -59

15) 3m+4<25or8m-5>67 16) -4- 2m <-10 and-7m + 3 >-25

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17) 9-4r<13orlO-2r>22 18) 5n+4>-11or4+8n<-76

19) 4n- 3 >-43 and 6n- 4 < 50 20) 8 - 7b >-62 and 8 - 7b < 71

21) 3+10k>-17and4k+3<23 22) 8n+10<2or7n-4>17

23) 8r+2<50and2r+3>-5 24) -6n- 5 < 13 and 6 + 9n <-3

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25) 2k- 9 < -23 or 6 + 9k > -48 26) -10 + 4x < -46 and 5 + lOx > -95

27) 3 - 8n <-13 or-10 - 7n >-3 28) 1-7x<-48or3x-6<9

29) -5b - 3 > 47 or-7b + 3 < 66 30) 9b- 7 <-61 or-3 + lOb > 97

31) 1+8n<7n-5or-3n-9<8n+2 32) -10 + 6x < 4x - 6 and 8x - 4 < 8 + 9x

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33) 4-n>2n-2or-2n+9<n-9 34) 6k-5>9k+7or-4k-5<Sk-5

35) 1Or- 7 >-1 + 7r or-5 - 2r > 5r + 2 36) 5n+l_<lOn+lor-l+2n<n-5

37) 3x+8<4x-7or-5x+5>3x+5 38) -a-4<5-1Oaand9+Sa>5a-9

39) 6m-6>4m+10or-m+3<-3m-9 40) 2 - lOb <-Sb + 6 and 4- 5b > 1 - 2b

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Answers to Compound Inequalities REVIEW/PRACTICE :) (ID" 1)

1) O_<n<8" (-3 -2 -1 0 1 2 3 4 5 6 7 8 9

2) n<-4orn>0" " ....-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3

3) n<8orn>_10"4 5 6 7 8 9 10 11 12 13 14 15

4) b>10orb<2" ~ ........-2 0 2 4 6 8 10 12

5) -8<n<7" <-8 -4 0 4 8

7) b>8orb<l’_ _-2 0 2 4 6 8 10 12

x>9orx<7"_4 5 6 7 8 9 10 11 12 13

9) k>10ork<9"4 5 6 7 8 9 10 11 12 13 14 15

10) 2<n<7" (0 1 2 3 ~ ; ; ~ 8 9

12)-8 < x <-2 ¯ ~-~-C .....-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1

13) r<0orr>6"-4 -2 0 2 4 6 8 10

14) a>0ora<-9"-14 -12 -10 -8 -6 -4 -2 0 2 4

15) m<7orm>9"4 5 6 7 8 9 10 11 12 13 14

16) 3_<m_<4" <1 2 3 4 5

17) r>-lorr<-6"-10 -8 -6 -4 -2 0 2

18) n>-3orn<-lO" ~"’’ D’. ’, ’, ’, ’.,-12 -i0 -8 -6 -4 -2 0

19)-lO<n<9"~--~-~"’’ ~-12 -8 -4 0 4 8 12

20) -9 < b < 10 ¯ ~-+--~: .......-12 -8 -4 0 4 8 12

21)-2<k<5" <,, ~ ~’"’ I ~ ~-5-4-3-2-1 0 1 2 3 4 5 6

22) n<-lorn_>3"-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

23) -4<r<6"-6-5-4-3-2-1 0 1 2 3 4 5 6 7

24)-3<n<-l" < ~-6 -5 -4 -3 -2 -1 0 1 2

25) k <-7 or k >-6 ¯-11 -10 -9 -8 -7 -6 -5 -4 -3

26)-10<x_<-9" (-12 -11 -10 -9 -8 -7 -6

27) n>2orn<-i-4 -3 -2 -1 0 1 2 3 4 5

28) x>7orx<5"_1 2 3 4 5 6 7 8 9 10 11

29) b<-lOorb>-9"-14 -13 -12 -11 -10 -9 -8 -7 -6 -5

30) b<-6orb>10"_ _"~ ..... . . ~ ~ ~ ~ ~- " ~ ,.¯-8 -4 0 4 8 12

31) n<-6 orn>-I-10 -8 -6 -4 -2 0 2

32) -12<x<2"-14 -12 -10 -8 -6 -4 -2 0 2 4

33) n<2orn>6¯ ~_ ., ....I ! ,.. I I-3 -2 -1 0 1 2 3 4 5 6 7 8 9

34) k<-4ork>0"_-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4

35) r>2orr<-l’’_ _-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

36) n>0orn<-4"-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5

37) x> m m m-2 0 2 4 6 8 10 12 14 16 18

38)-6<a<1" (~ ~ ~-’’ ~,,,__-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3

39) m>8orm<-6"~.~l~O : : : ~ ~ ~-8 -4 0 4 8

40) -2<b<l" (-5 -4 -3 -2 -1 0 1 2 3

6)-7_<p<4" ( i (~" ( : ( ( 0 i >-10 -8 -6 -4 -2 0 2 4 6

11)-8_<n<4" < ~ ...... ~-10 -8 -6 -4 -2 0 2 4 6

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