Solving Absolute Value Inequalities

| x + 3 | ≤ 2

• No Solution

• x ≤ -1

• -5 ≤ x and x ≤ -1

• 1 ≤ x and x ≤ 5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

| 2w - 1 | < 11

• No Solution

• w < 5

• -5 < w and w < 6

• -6 < w and w < 5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

| x + 3 | > 8

• No Solution
• All Real Numbers
• x < -11  or  x > 5
• -5 < x < 11

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

What is the correct first step?

• divide by 10
• multiply by 10
• make it two inequalities with an "or"
• make it two inequalities with and "and

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

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

• 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

| 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

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