Absolute Value Equations and Inequalities

6(2x -1) ≥ 3(4x + 1) 

• All Real Numbers 
• No Solution
• x ≥ 3/8
• x ≤ -3/8

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

6x + 2 + 6x < 14

• x < 1
• x > 1
• x < -1
• x > -1

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

-3 − 6(4x + 6) > -111

• x > 3
• x < 3
• x < -3
• x > -3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

-2(5 + 6n) < 6(8 − 2n)

• no solution
• infinite solution
• x < 0
• x > 0

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

28 − k ≥ 7(k − 4)

• k ≥ -7
• k ≤ -7
• k ≥ 7
• k ≤ 7

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve the compound inequality. 
22 < -3c + 4 < 14

• all real numbers
• no solution
• -6 > c > 10/3
• -6 < c < 10/3

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve and graph:

• A
• B
• C
• D

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.12

Solve: 
3x + 2 < -7  or  -4x + 5 < 1

• x < -3  and  x < 1
• x < -3  and  x > 1
• x < -3  or  x < 1
• x < -3  or  x > 1

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve the compound inequality. 
x - 8 ≤ 4 OR 2x + 3 > 9 

• x ≤ 12 or x > 3
• x ≤ 12 and x > 6
• no solutions 
• all real numbers 

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

-6 < 3n + 9 < 21 

• -5 < n < 4
• n > -5 or n < 4
• no solutions 
• all real numbers 

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3