Absolute Value Inequalities

Solving Inequalities

100

4x > 16

x > 4

200

-7 ≤ v - 2

v ≤ -5

300

-27 ≥ -5b + 3

b ≤ 6

400

12 > 4(8r + 3)

What is r < 0

500

-4(2m + 3) < -36

m > 2

Absolute Value Equations

100

43 = |y - 8|

y = 51 and y = -35

200

30 = |10+4b|

b = 5, b= -10

300

-4|3x| = 24

x = 6, x = -6

400

-4|3+x| - 7 = -15

x=-1, x=-5

500

-|3x-7|+7 = 4

x = 10/3, x=4/3

Absolute Value Inequalities 1

100

| a + 3 | < 5

-8 < a < 2

200

| k - 10 | > 5

What is k < 5 or k > 15

300

|6n| ≤ 48

-8 < n ≤ 8

400

|8m| ≥ 72

What is m ≤ -9 or m ≥ 9

500

| x – 9| ≤ 17

-8 < x ≤ 26

Absolute Value Inequalities 2

100

|x + 9| < 7

-16<x<-2

200

5|x-7|-3>12

x>12 or x<6

300

| -1 + b | + 6 < 8

What is b > -1 and b < 3

400

3|8-2x|-1 > 23

x<0 or x>8

500

5|7-x| < 30

13 > x > 1