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135 day 2 January 28, 2015 w(y+z)=x+6 distribution wy+wz=x+6 wy = x+6wz y= x+6wz w lcd: x1*x2 8x1x2= 8x1x2 = yx2 +yx1 8x1x2 yx2 = yx1 factor out x2( 8x1 y ) = yx1 x2 = y x1 8x1 y

135 day 2 - MCCCporterr/course/135/documents/135d2.pdf · 135 day 2 January 28, 2015 Inequalities x + 2 > 7 x > 5 ex: x > 7 x < 7 ... Let be the number of hours Lucy worked

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Page 1: 135 day 2 - MCCCporterr/course/135/documents/135d2.pdf · 135 day 2 January 28, 2015 Inequalities x + 2 > 7 x > 5 ex: x > 7 x < 7 ... Let be the number of hours Lucy worked

135 day 2 January 28, 2015

w(y+z)=x+6distribution

wy+wz=x+6

wy = x+6­wz y= x+6­wz

         w

lcd:  x1*x2

8x1x2=

8x1x2 = yx2 +yx1

8x1x2 ­ yx2 = yx1 factor out 

x2(8x1 ­ y ) = yx1

x2 =   y x1

        8x1 ­ y

Page 2: 135 day 2 - MCCCporterr/course/135/documents/135d2.pdf · 135 day 2 January 28, 2015 Inequalities x + 2 > 7 x > 5 ex: x > 7 x < 7 ... Let be the number of hours Lucy worked

135 day 2 January 28, 2015

n is middle

n­1 previous 

n+1 next

n ­ 1  +  n  +   n + 1 = 3n

Page 3: 135 day 2 - MCCCporterr/course/135/documents/135d2.pdf · 135 day 2 January 28, 2015 Inequalities x + 2 > 7 x > 5 ex: x > 7 x < 7 ... Let be the number of hours Lucy worked

135 day 2 January 28, 2015

A

B

4.70$

        lb

5.85$

        lb

lb

lb

$

$

$lb

x

3x

4x 623

x = 155.75

Page 4: 135 day 2 - MCCCporterr/course/135/documents/135d2.pdf · 135 day 2 January 28, 2015 Inequalities x + 2 > 7 x > 5 ex: x > 7 x < 7 ... Let be the number of hours Lucy worked

135 day 2 January 28, 2015

Page 5: 135 day 2 - MCCCporterr/course/135/documents/135d2.pdf · 135 day 2 January 28, 2015 Inequalities x + 2 > 7 x > 5 ex: x > 7 x < 7 ... Let be the number of hours Lucy worked

135 day 2 January 28, 2015

3.50 + .5 * 3.50

3.50 + 1.75 = 5.25

519.99 * 1.0775=  560.289...

Page 6: 135 day 2 - MCCCporterr/course/135/documents/135d2.pdf · 135 day 2 January 28, 2015 Inequalities x + 2 > 7 x > 5 ex: x > 7 x < 7 ... Let be the number of hours Lucy worked

135 day 2 January 28, 2015

15cu

100gg cu

55cu

100gg cu

28

100

28*15/1004.2cu

55

59.2 cu

59.2

128g

Page 7: 135 day 2 - MCCCporterr/course/135/documents/135d2.pdf · 135 day 2 January 28, 2015 Inequalities x + 2 > 7 x > 5 ex: x > 7 x < 7 ... Let be the number of hours Lucy worked

135 day 2 January 28, 2015

120 +.06x=300+.05x 

Page 8: 135 day 2 - MCCCporterr/course/135/documents/135d2.pdf · 135 day 2 January 28, 2015 Inequalities x + 2 > 7 x > 5 ex: x > 7 x < 7 ... Let be the number of hours Lucy worked

135 day 2 January 28, 2015

Inequalities    x + 2 > 7

x > 5

­x  >  7ex:

­x  <  7

DONT DIVIDE BY NEGATIVE WITHOUT SWITHCHING INEQUALITY

Page 9: 135 day 2 - MCCCporterr/course/135/documents/135d2.pdf · 135 day 2 January 28, 2015 Inequalities x + 2 > 7 x > 5 ex: x > 7 x < 7 ... Let be the number of hours Lucy worked

135 day 2 January 28, 2015

Page 10: 135 day 2 - MCCCporterr/course/135/documents/135d2.pdf · 135 day 2 January 28, 2015 Inequalities x + 2 > 7 x > 5 ex: x > 7 x < 7 ... Let be the number of hours Lucy worked

135 day 2 January 28, 2015

Page 11: 135 day 2 - MCCCporterr/course/135/documents/135d2.pdf · 135 day 2 January 28, 2015 Inequalities x + 2 > 7 x > 5 ex: x > 7 x < 7 ... Let be the number of hours Lucy worked

135 day 2 January 28, 2015

Page 12: 135 day 2 - MCCCporterr/course/135/documents/135d2.pdf · 135 day 2 January 28, 2015 Inequalities x + 2 > 7 x > 5 ex: x > 7 x < 7 ... Let be the number of hours Lucy worked

135 day 2 January 28, 2015

[­2 , 0)

Page 13: 135 day 2 - MCCCporterr/course/135/documents/135d2.pdf · 135 day 2 January 28, 2015 Inequalities x + 2 > 7 x > 5 ex: x > 7 x < 7 ... Let be the number of hours Lucy worked

135 day 2 January 28, 2015

Page 14: 135 day 2 - MCCCporterr/course/135/documents/135d2.pdf · 135 day 2 January 28, 2015 Inequalities x + 2 > 7 x > 5 ex: x > 7 x < 7 ... Let be the number of hours Lucy worked

135 day 2 January 28, 2015

Page 15: 135 day 2 - MCCCporterr/course/135/documents/135d2.pdf · 135 day 2 January 28, 2015 Inequalities x + 2 > 7 x > 5 ex: x > 7 x < 7 ... Let be the number of hours Lucy worked

135 day 2 January 28, 2015

Page 16: 135 day 2 - MCCCporterr/course/135/documents/135d2.pdf · 135 day 2 January 28, 2015 Inequalities x + 2 > 7 x > 5 ex: x > 7 x < 7 ... Let be the number of hours Lucy worked

135 day 2 January 28, 2015

Page 17: 135 day 2 - MCCCporterr/course/135/documents/135d2.pdf · 135 day 2 January 28, 2015 Inequalities x + 2 > 7 x > 5 ex: x > 7 x < 7 ... Let be the number of hours Lucy worked

135 day 2 January 28, 2015

Page 18: 135 day 2 - MCCCporterr/course/135/documents/135d2.pdf · 135 day 2 January 28, 2015 Inequalities x + 2 > 7 x > 5 ex: x > 7 x < 7 ... Let be the number of hours Lucy worked

135 day 2 January 28, 2015

Page 19: 135 day 2 - MCCCporterr/course/135/documents/135d2.pdf · 135 day 2 January 28, 2015 Inequalities x + 2 > 7 x > 5 ex: x > 7 x < 7 ... Let be the number of hours Lucy worked

135 day 2 January 28, 2015

great ORor   

less th 'and'and