Solving Absolute Value Inequalities

| x + 3 | ≤ 2

• No Solution
• All Real Numbers
• -5 ≤ x ≤ -1
• 1 ≤ x ≤ 5

| 2x - 1 | < 11

• No Solution

• x < 5

• -5 < x and x < 6

• -6 < x and x < 5

Solve for x.

• x > 8 or x < - 9/2

• x > -3 or x < -5

• x > 0 or x < -2

• x > 5 or x < -3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve for x.

• x > 8 or x < - 9/2

• x > -3 or x < -5

• x > 0 or x < -2

• x > 5 or x < -3

• no solution
• all real numbers 
• -2 ≤ n ≤ 16
• n ≤ -2 or n ≥ 16

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

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

• x < -3 and x > -5/3
• x < -3 and x > -4
• all real numbers
• no solution

Tags

CCSS.6.NS.C.7C

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

• x < -3 and x > -5/3
• x < -3 and x > -4
• all real numbers
• no solution

Solve. 
|2x - 12| + 8  = 8 

• x = 6 or x = -2
• x = 6 or x = -6
• no solution
• x = 6

Solve.
-5|x - 4| > -20

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

Solve the absolute Value inequality and graph. 

• A
• B
• C
• D