Solve Nonlinear Value Inequalities

• - 7 < y < 3
• - 8 < y < 4
• - 7 < y < - 3
• - 8 < y < - 4

• - 1/2 ≤ z ≤ 5/2
• 1/2 ≤ z ≤ 5/2
• z ≥ 1/2 or z ≤ 5/2
• z ≤ 1/2 or z ≥ 5/2

• - 1/3 < n or n > 5/3
• -1/3 < n < 5/3
• 1/3 < n < 5/3
• n < -5/3 or n > 1/3

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

• - 4 ≤ x ≤ 6
• x ≥ - 4 or x ≤ 6
• x ≥ 4 or x ≤ - 6
• - 4 ≤ x ≤ - 6

• - 6 < x < 26/5
• - 6 < x < 25
• x < - 6 or x > 26/5
• x > - 6 or x < 26/5

• A)
• B)
• C)
• D)

Tags

CCSS.6.EE.B.8

2 ∣ 3m + 4 ∣ = 14

• m = - 3⅔ or m = 1

• m = -3 or m = 1

• m = 7 or m = -7

• m = 3⅔ or m = -1

Solve:
 |x + 3| > 8

• x > 5 or x < -11

• x > 5

• all real numbers

• no solution

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

• x < -3 and x > -5/3

• x < -3 and x > -4

• all real numbers

• no solution