Compound & Absolute Inequalities

x + 1 ≤ -3 or -4x < -8

• x ≤ -4 or x > 2

• x ≤ -4 and x > 2

• x ≤ -2 or x > 2

• x ≤ -2 and x > 2

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

3 < 2x + 1 < 7

• 1 < x < 3

• 3 < x < 4

• 3 < x < 3

• 2 < x < 6

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

26 ≤ 7n + 12 < 33

• 2 ≤ n < 3

• 3.7 ≤ n < 3

• 5.4 ≤ n < 6.4

• 4 ≤ n < 3

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

2x - 3 < 11 or 8x + 10 > 82

• x < 7 or x > 9

• x < 7 and x > 9

• x < 4 or x > 9

• x < 4 and x > 9

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

Write the inequality statement.

• x ≤ -3 or x > 2

• x ≤ -3 and x > 2

• x < -3 or x ≥ 2

• x < -3 and x ≥ 2

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

|x| > 7 Is this an "and" or an "or"?

• And

• Or

Tags

CCSS.HSA.REI.B.3

|x + 4| ≤ 8

• x ≤ 4 and x ≥ -12

• x ≤ 4 or x ≥ -12

• x ≤ 4 or x ≥ -4

• x ≤ 4 and x ≥ 12

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

|x - 8| > 12

• x > 20 or x < -4

• x > 20 and x < -4

• x > 4 or x < -20

• x > 4 and x < -4

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

|2x + 13| < 15

• x < 1 and x > -14

• x < 1 or x > -14

• x < 1 and x > -1

• x < 2 and x > -28

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

Solve 4|x - 1| < 24

• -7 < x < 7

• -5 < x < 7

• x < -5 or x > 7

• -5 < x < 5

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1