Solving Absolute Value Inequalities

• v>5 or v<-5
• v≥5 or v≤-5
• v>-5 or v<5
• all real numbers

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

• no solution
• -6 ≤ r ≥ 8
• 6 > r > -8
• -6 < r < 8

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

• r > 11/4 or r < 9/4
• r > 5 or r ≤ 0
• r > 5 or r < 0
• r < -5 or r > 0

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

| x - 2 | > 3

• 2 < x < 10
• x < 2 or x > 10
• -1 < x < 5
• x < - 1 or x > 5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

• n > 1 or n < -7
• n > -1 or n < -7
• -7 < n < -1
• no solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Solve for x.

• x ≥ -3.33 and x ≤ 2
• x > -3.33 and x < 2
• x ≥ -3.33 or x ≤ 2
• x > -3.33 or x < 2

Tags

CCSS.HSA.REI.B.3

Solve for v.

• v ≥ -6 and v ≤ -4
• v > -6 and v < -4
• v ≥ -6 or v ≤ -4
• v > -6 or v < -4

Tags

CCSS.HSA.REI.B.3

Solve for x.

• x ≥ -13 and x ≤ -3
• x > -13 and x < -3
• x ≥ -13 or x ≤ -3
• x > -13 or x < -3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

| 2w - 1 | < 11

• No Solution
• All Real Numbers
• -5 < w < 6
• -6 < w < 5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

| x + 1 | ≥ 3

• No Solution
• All Real Numbers
• x ≤ -4  or  x ≥ 2
• -4 ≤ x ≤ 2

Tags

CCSS.6.NS.C.7C