Compound Inequalities (Math Masters)

Solve this problem ! 3 < 2x − 1 ≤ 7

• 1 ≤ x ≥ 3

• 2 < x ≤ 4

• 3 < x ≥ 5

• 2 < x > 6

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.12

Solve this problem ! −5 ≤ 4−3 x < 2

• 2/3 < x ≤ 3

• 0 < x > 2/3

• 3 ≤ x ≤ 4

• -5 > x < 0

Tags

CCSS.HSA.REI.B.3

Solve this problem ! −2 < 21​y + 3 ≤ 4

• -2 < 21y + 3 ≤ 2
• -5/21 ≤ y < 0
• -1/21 < y < 5/21
• −10 < y ≤ 2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve this problem ! 6 ≤ 2z + 5 < 12

• 1/2 ≤ z < 7/2

• 2.5 ≤ z > 6

• 3 ≤ z < 5

• 0 > z < 2

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.12

Solve this problem ! −4 < y ≤ 1

• -4 < y ≤ 1

• -4 < y ≤ -1

• -4 > y < 2

• -5 < y < 1

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Solve this problem ! −2 ≤ 2a + 4 < 5

• -3 ≤ a < 1/2

• -2 < a > 2

• 0 > a < 3

• -4 < a ≥ -1

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.12

Solve this problem ! −3 < 4 −2k ≤ 1

• 1.5 ≤ k < 3.5

• −3 < k ≤ 4
• k ≥ 3
• k < 1

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Solve this problem ! 2x + 1 ≥ − 3 and 2x + 1 < 5

• -2 ≤ x < 2
• x ≥ 2
• -3 < x < 5
• x < -2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve this problem ! −1 < 3 − x ≤ 4

• -2 > x ≤ 3

• -1 ≤ x < 5

• -2 < x > 3

• -1 ≤ x < 4

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.12

Solve this problem ! −7 < −2n + 3 ≤ −1

• 3 ≤ n ≤ 4

• 1 ≤ n ≤ 3

• 5 < n > 7

• 2 ≤ n < 5

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3