Solving Absolute Value Inequalities

Solve the following inequality:

|3x + 6| ≥ 15

• x ≥ 3 or x ≤ −3

• x ≤ 7 and x ≤ −3

• x ≥ 7 and x ≤ −7

• x ≤ −7 or x ≥ 3

Solve the following inequality:

|2x + 13| < 15

• x < 1 and x > −14

• x < 1 or x > −14

• x > 1 and x < −14

• x < 2 and x > −28

Solve the following inequality:

| 3x − 9 | < 3

• x < −10 or x > −2

• −10 < x < −2

• x < 2 or x > 4

• 2 < x < 4

• no solution
• -6 ≤ r ≥ 8
• 6 > r > -8
• -6 < r < 8

• r > 11/4 or r < 9/4
• r > 5 or r ≤ 0
• r > 5 or r < 0
• r < -5 or r > 0

| x - 2 | > 3

• 2 < x < 10

• x < 2 or x > 10

• -1 < x < 5

• x < - 1 or x > 5

Solve for x.

• x ≥ -3.33 and x ≤ 2

• x > -3.33 and x < 2

• x ≥ -3.33 or x ≤ 2

• x > -3.33 or x < 2

Solve for v.

• v ≥ -6 and v ≤ -4

• v > -6 and v < -4

• v ≥ -6 or v ≤ -4

• v > -6 or v < -4

| 2w - 1 | < 11

• No Solution

• All Real Numbers

• -5 < w < 6

• -6 < w < 5

| x + 1 | ≥ 3

• No Solution

• All Real Numbers

• x ≤ -4  or  x ≥ 2

• -4 ≤ x ≤ 2