Absolute Value Inequality Review

Which of the following is not true when solving an inequality?

• If you divide by a negative you flip the inequality sign.

• If the absolute value is > a negative, you have no solution

• If the absolute value is < a negative, you have no solution

• If the absolute value is > a negative your solution is all real numbers

Solve: |-9x| < 54

• x > -6 and x < 6

• x < -6 or x > 6

• x < -6 or x > 6

• x > -6 and x < 6

Solve |10 + 4x| < 14

• -6 < x < 1

• x > -6 or x < 1

• x > -6 or x < 1

• -6 < x < 1

Solve:
 |x + 3| > 8

• x > 5 or x < -11

• -11 < x < 5

• x > 11 or x < -5

• -5 < x < 11

Solve:  |2x - 1| ≥ 19

• x ≥ 9 or x ≤ -10

• -10 ≤ x ≤ 9

• x ≥ 10 or x ≤ -9

• -9 ≤ x ≤ 10

Solve the absolute Value inequality and graph. 

• A

• B

• C

• D

Select the correct inequality for the graph.

• -1 ≤ x < 6

• 1 ≤ x < 6

• 1 < x ≤ 6

• x ≤ 1 or x > 6

• Graph 1

• Graph 2

• Graph 3

• Graph 4

What inequality is being represented?

Solve the following inequality

3|x - 5| - 6 > 21

• -4 < x < 14

• x > 14 AND x < -4

• x > 14 OR x < -4

• x > 14 OR x > 4