Equations Inequalities

Solve the inequality. 
|x + 4|/5 ≤ 2

• x ≤ 6

• x ≥ -14

• No solution

• -14 ≤ x ≤ 6

Solve this equation. 
|-6x| = 30

• x = -5

• No solution

• x = 5, -5

• x = 5 

Solve the equation. 
|x/7| = 3

• No solution

• x = 21

• x = 21, -21

• x = -21

Solve the equation. 
|m| + 2 = 11

• m = -9

• m = 9

• m = -13, 9

• m = 9, -9

Solve the equation. 
4|n + 8| = 56

• n = 6

• n = -22

• n = 6, -22

• No solution

Solve the equation. 
-10|v + 2| = -70

• v = 5

• v = -9

• v = 5,-9

• No solution

Solve the inequality. 
|k| - 6 ≤ -1

• k ≤ 5

• k ≤ -5

• k ≤ -5, 5

• -5 ≤ k ≤ 5

Solve the inequality. (hint: isolate the absolute value). 
8 + |4v - 7| ≥ 17

• No solution

• v ≥ 9

• v ≥ 4

• -1/2 ≥ v ≥ 4

Solve the inequality. 
|3 + r|/7 < 5

• r < 32

• -38 < r < 32

• r < -38

• No solution

What value of y makes the number sentence true? y + 8 = 15

• 23

• 7

• 2

• 120