Absolute Value and Inequalities

• x > 11 or x < 5
• x > - 11 or x > 5
• 5 < x < 11
• - 5 < x < 11

| x + 2 | > 5

• x < - 7 or x > 3

• x > 7 or x < 3

• x < -7 and x > 3

• x > -3 and x < 7

| m - 2 | < 8

• m > 8 or m < 9

• m < -6 or m > 2

• m > -6 and m < 10

• 0 > m < 0

Solve:
3 | 2x + 7| - 7 < -4

• x < -3 and x > -5/3

• x < -3 and x > -4

• all real numbers

• no solution

• A

• B

• C

• D

• A

• B

• C

• D

What is the correct first step?

• separate into two inequalities with an "and"

• separate into two inequalities with an "or"

• divide both sides by -8

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

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 the absolute value inequality: |2x - 3| < 5

• -2 < x < 4

• -1 < x < 3

• -1 < x < 5

• -1 < x < 4