Solving Inequalities and Absolute Value Inequalities

Solve the following inequality:

|10 + 4x| < 14

• x < 1 and x > −6

• x < 1 or x > −6

• x < 6 and x > −6

• x < 1 or x > −1

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:

| x − 2 | > 3

• 2 < x < 10

• x < 2 or x > 10

• −1 < x < 5

• x < −1 or x > 5

• x > 11 or x < 5
• x > - 11 or x > 5
• 5 < x < 11
• - 5 < x < 11

Solve the inequality.

• A

• B

• C

• D

Solve the inequality.

• A

• B

• C

• D

Solve the inequality.

• A

• B

• C

• D

• n > 1 or n < -7
• n > -1 or n < -7
• -7 < n < -1
• no solution

Solve the inequality.

• A

• B

• C

• D