Compound and Absolute Value 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.CED.A.1

CCSS.HSA.REI.B.3

3 < 2x + 1 < 7

• 1 < x < 3

• 3 < x < 4

• 3 < x < 3

• 2 < x < 6

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

26 ≤ 7n + 12 < 33

• 2 ≤ n < 3

• 3.7 ≤ n < 3

• 5.4 ≤ n < 6.4

• 4 ≤ n < 3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

2x + 9 < 7 or -5x + 7 < -8

• x < -1 or x > 3

• x < 8 or x > 3

• x < -1 and x > 3

• x < 8 and x > 3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.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.CED.A.1

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.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.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.CED.A.1

CCSS.HSA.REI.B.3

|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.CED.A.3

CCSS.HSA.REI.B.3

|3x + 6| ≥ 15

• x ≥ 3 or x ≤ -3

• x ≤ 7 and x ≤ -3

• x ≥ 7 and x ≤ -7

• x ≤ -7 or x ≥ 3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

|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.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3