Absolute Value Equations

−2|−2r − 4| = -12

• {3,1}

• {-5,1}

• {-3}

• No Solution

Evaluate each expression.
| x + 9 | = -5

• -14
• -4
• {-14, -4}
• no solution

Solve the following equation:

|−2n| - 30 = −20

• {10, −10}

• {20, −20}

• {−5, 5}

• No Solution

| 3n + 12 | = 2n

• No Solution
• n = -12 and n = ^-12/₅
• n = -12
• n = ^-12/₅

Solve the following equation:

3| −8x| + 8 = 80

• {−7/3, 7/3}

• {−3, 3}

• {11/3, −11/3}

• No Solution

Solve.

|x + 4| < 5

• x < -9 or x > 1

• -9 < x < 1

• x < 9 or x > -1

• -1 < x < 9

Solve.

3|d - 4| ≥ 12

• d = -8 or d = 0

• no solution

• d ≥ 8 or d ≤ 0

• d = 40 or d = 32

Solve.
|5x + 7| < 22

• x < -5 ⅘ or x > 3
• -5 ⅘ < x < 3
• -3 < x < 5 ⅘
• x < -3 or x > 5 ⅘

Solve.

|4v + 12| ≥ 6

• v ≤ -4.5 or v ≥ -1.5

• -4.5 ≤ v ≤ -1.4

• -1.5 ≤ v ≤ 4.5

• v ≤ -1.5 or v ≥ 4.5

Solve.

3|2d + 9| + 13 > 10

• d > 5 or d < -1

• d < -4 or d > 5

• No Solution

• All real numbers