Absolute Value and Inequalities

Solve. 
| -x - 10| + 4 < -8 

• no solution

• x > 2 or x < -22

• -22 < x < 2

• all real numbers

-5|-n + 7| ≥ -45

• no solution

• all real numbers 

• -2 ≤ n ≤ 16

• n ≤ -2 or n ≥ 16

28 − k ≥ 7(k − 4)

• k ≥ -7

• k ≤ -7

• k ≥ 7

• k ≤ 7

Solve and graph:

• A

• B

• C

• D

Solve. 
-5|4 +n| < -15 

• n > 1 or n < -7

• n > -1 or n < -7

• -7 < n < -1

• no solution

4|5x-2|+7>39

• -6/5 < x > 2

• x=2 or x=-6/5

• x=2 and x=-6/5

• x < -6/5 or x > 2

6x + 2 + 6x < 14

• x < 1

• x > 1

• x < -1

• x > -1

Solve the following equation:

|−2n| + 10 = −50

• {30, −30}

• {20, −20}

• {−5, 5}

• No Solution

How many solutions does the following equation have?

0 = -6|9v - 7|

• no solution

• one solution

• two solutions

• x > -7

• x < -7