Lesson 1.3 Solving Absolute Value Equations

Solve the following equation:

|−4 + 5x| = 16

• {16/5,12/5}

• {4, −5}

• {−12/5, 4}

• {4}

Solve the following equation:

|2x – 3| + 5 = 10.

• {−1, 1}

• {−1, 4}

• {−1, −4}

• {1, 4}

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 equation:

|−2n| + 10 = −50

• {30, −30}

• {20, −20}

• {−5, 5}

• No Solution