Lesson 3.6-3.7 Review

Compound Inequalities

100

5y+7<=-3 or 3y-2>=13

y<=-2 or y>=5

200

5n-3>7 or 4n-6<-10

n<-1 or n>2

300

3<4x-5<=15

2<x<=5

400

-5<3x+7<=22

-4<x<=5

Absolute value Equations

100

| d + 5 | = 9

d=4 or d=-14

200

| a - 6 | = 10

a=16 or a=-4

300

3 | r - 4 | = 21

r = -3 or r = 11

400

6 | g - 3 | = 42

g = 10 or g = -4

Absolute value Inequalities

100

| w + 9 | < 17

 w< 8 and w> -26

-26<w<8

200

2 | x + 5 | > 22

x< -16 or x>6 

300

3 | 2a - 4 | < 24

a<6 and a>-2

-2<a<6

400

2 | y + 4 | > 14

y>3 or y<-11

Challenge Problems

100

 | 3z + 8 |  > -20

No solution 

200

2| 7y + 2 | - 3 = 11

leave answer as a fraction

y = 5/7  or y = -9/7

300

8 | 5w - 1 | > 24

w > 4/5  or  w < -2/5 

w > 0.8  or  w < 0.4

400

-3 | 3t - 2 | -12 > -15

t > 1  and  t < 1/3