Absolute Value Inequality

Solve.

• no solution

• -6 ≤ r ≥ 8

• 6 > r > -8

• -6 < r < 8

Solve the absolute Value inequality and graph. 

• A

• B

• C

• D

Solve.

3|d - 4| ≥ 12

• d = -8 or d = 0

• no solution

• d ≥ 8 or d ≤ 0

• d = 40 or d = 32

• v>5 or v<-5
• v≥5 or v≤-5
• v>-5 or v<5
• all real numbers

Solve:  |k| > -8

• x > 8 or x < -8

• -8 < k < 8

• No solution

• Infinite solution

Solve.

• -1 < r or r < 9

• -1 < r < 9

• r < 9

• -1 < r

Solve.

• b < -8

• b > -8

• All real numbers

• No solution

Correct or incorrect?

• Correct

• Incorrect

| x - 6 | < 4
Is this an "and"  or an "or" problem?

• and

• or

An absolute value inequality is

• an inequality that contains an absolute value expression

• impossible to solve

• an equation that contains an absolute value expression

• always going to have two solutions