Absolute Value Inequalities

Solve.

|x + 4| < 5

• x < -9 or x > 1

• -9 < x < 1

• x < 9 or x > -1

• -1 < x < 9

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve.
|y - 4| ≥ 8

• y ≤ -4 or y ≥ 12
• -4 ≤ y ≤ -12
• y ≤ 4 or y ≥ -12
• -12 ≤ x ≤ 4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Solve.
|y - 1| ≤ 6

• -7 ≤ y ≤ 5

• y ≤ -7 or y ≥ 5

• -5 ≤ y ≤ 7

• y ≤ -5 or y ≥ 7

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

| 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.CED.A.3

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

Which is the proper graph of the solution to the inequality:

-50 < 7k + 6 < -8

• 
• 
• 
• 

Tags

CCSS.HSA.REI.B.3

Solve the following inequality:

|10 + 4x| < 14

• x < 1 and x > −6

• x < -1 or x > −6

• x < 6 and x > −6

• x < 1 or x > −1

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve the following inequality:

|2x + 13| < 15

• x < 1 and x > −14

• x > 1 or x > −14

• x > 1 and x < −14

• x < 2 and x > −28

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Solve:  |2x + 1| ≤ 19

• x ≥ 9 or x ≤ -10

• -10 ≤ x ≤ 9

• x ≥ 10 or x ≤ -9

• -9 ≤ x ≤ 10

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve 3x + 7 < 22

• x < -29/3

• x < -5

• x < 29/3

• x < 5

Tags

CCSS.7.EE.B.4B