SOLVING ABSOLUTE VALUE INEQUALITIES WORKSHEET

Solve the inequality. Then graph the solution.

Problem 1 :

|d + 4| ≥ 3

Solution

Problem 2 :

|f + 6| < 2

Solution

Problem 3 :

|3w - 15| < 30

Solution

Problem 4 :

|2x + 6| ≥ 10

Solution

Problem 5 :

|16 - p| > 3

Solution

Problem 6 :

|24 - q| ≤ 11

Solution

Problem 7 :

|1/2x - 10| ≤ 4

Solution

Problem 8 :

|(1/3)m - 15| < 6

Solution

Problem 9 :

|(1/7)y + 2| - 5 > 3

Solution

Problem 10 :

|(2/5)n - 8| + 4 ≥ 12

Solution

Answer Key

1)  

Converting into interval notation, we get

 (-∞, -7] U [-1, ∞) 

2)  

Converting the shaded portion as interval notation, we get

(-8, -4)

3)

Converting the shaded region as interval notation, we get

(-5, 15).

4)  

Converting into interval notation, we get

(-∞, -8] U [2, ∞)

5)

Converting into interval notation, we get

(-∞, 13) U [19, ∞)

6)

Converting into interval notation, we get

(13, 35]

7)  

Converting into interval notation, we get

[12, 28]

8)

Converting into interval notation, we get

(27, 63)

9)

Converting into interval notation, we get

(-∞, -70) U (42, ∞)

10)

Converting into interval notation, we get

(-∞, 0] U [40, ∞)

More Practice Questions

solve-absolute-value-inequalities-worksheet

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