Absolute Value Equations and Inequalities

Solve the absolute value equation: |2x - 3| = 5.

• x = 0, -5

• x = 4, -1

• x = 1, -3

• x = 2, -2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve the absolute value equation: |4 - 3x| = 12.

• x < 4/3 or x > 4/3

• x < 4/3 or x > -4/3

• x < -4/3 or x > -4/3

• x < -4/3 or x > 4/3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve the absolute value equation: |5x + 2| = 8.

• x < -8/5 or x > -8/5

• x < 2/5 or x > 2/5

• x < -2/5 or x > -2/5

• x < -2/5 or x > -2/5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve the absolute value equation: |2x + 1| = 3.

• x < 1/2 or x > -1/2

• x < -1/2 or x > -1/2

• x < -1/2 or x > 1/2

• x < -1/2 or x > -1/2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve the absolute value inequality: |3x - 4| < 7.

• x < 4/3 or x > 4/3

• x < -4/3 or x > -4/3

• x < 4/3 or x > -4/3

• x < -4/3 or x > 4/3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve the absolute value inequality: |2 - 5x| > 9.

• x > -7/5 or x > 11/5

• x < -7/5 or x > 11/5

• x < -7/5 or x < 11/5

• x < -7/5 or x > 11/5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve the absolute value inequality: |4x + 3| ≤ 6.

• x ≤ -3/4 or x > -3/4

• x ≤ -3/4 or x < -3/4

• x ≥ -3/4 or x < -3/4

• -∞ < x < -3/4 or x ≥ -3/4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve the absolute value inequality: |2x - 1| ≥ 5.

• x ≤ -2 or x ≥ 3

• x ≤ -3 or x ≥ 2

• x ≤ -1 or x ≥ 4

• x ≤ -2 or x ≥ 3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Graph the absolute value inequality: |x - 2| > 3.

• x = 2

• x > 5

• x < -1

Tags

CCSS.HSA.REI.D.12

Graph the absolute value inequality: |3x + 1| ≤ 2.

• -1/3 ≤ x ≤ -1/3

• -1/3 ≤ x < -1/3

• -1/3 < x ≤ -1/3

• -1/3 < x < -1/3

Tags

CCSS.HSA.REI.D.12