Solving Absolute Value Equations & Inequalities

Solve for x: 2|x + 9| = 8

• x = -5 or x = -13

• x = -13

• x = -1/2 or x = -17/2

• No Solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve for x: 0.5|x + 14| - 3 = 7

• x = -6 or x = -22

• x = 6 or x = -34

• x = -9 or x = -19

• No Solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve for x: -4|x + 5| + 2 = -126

• x = 26 or x = -36

• x = 27 or x = -37

• x = 123 or x = -133

• No Solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve for x: |x - 15| < 21

• -21 < x < 21

• -36 < x < 6

• x < -36 or x > 6

• No Solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve for x: 3|2x + 13| ≤ 9

• x ≤ -13 or x ≥ -5

• -13 ≤ x ≤ -5

• -11 ≤ x ≤ -2

• No Solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve for x: -0.5|x + 10| < 28

• -24 < x < 4

• -66 < x < 46

• x < -66 or x > 46

• No Solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Solve for x: -5|2x + 3| < -40

• x > 197/2 or x < -203/2

• -5.5 < x < 2.5

• x > 2.5 or x < -5.5

• No Solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve for x: 4|3x - 5| + 20 > 6

• 4/3 < x < 2

• x < 4/3 or x > 2

• x > 14/3 or x < -4/3

• No Solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3