Absolute value Inequalities

| x + 3 | ≤ 2

• No Solution

• x ≤ -1

• -5 ≤ x and x ≤ -1

• 1 ≤ x and x ≤ 5

| 2w - 1 | < 11

• No Solution

• w < 5

• -5 < w and w < 6

• -6 < w and w < 5

Solve the absolute Value inequality and graph. 

• A
• B
• C
• D

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

Solve for n.

• n ≥ 10 and n ≤ -6
• n > 10 and n < -6
• n ≥ 10 or n ≤ -6
• n > 10 or n < -6

• A

• B

• C

• D

What is the correct first step?

• divide both sides by 10

• multiply both sides by 10

• make it two inequalities with an "or"

• make it two inequalities with and "and" or a between statement

Solve:  |k| < -8

• x > 8 or x < -8

• -8 < k < 8

• No solution

• Infinite solution

Correct or incorrect?

• Correct

• Incorrect

Solve.
-5|x - 4| > 20

• x < 8 and x > 0
• x > 8 or x < 0
• all real numbers
• no solution