Solving Compound Inequalities

Solve 24 > -3r > -9 

• -8 < r < 3
• -8 > r > 3
• r > - 8 and r > 3 
• r > -8 or r < 3

Tags

CCSS.HSA.REI.B.3

x + 8 < 3 or - 8x < -40 

• x > -5 or x < 5
• x < -5 and x > 5
• x < -5 or x > 5 
• x > -5 and x < 5 

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

Write an inequality for Graph 3.

• x ≤ -2 AND x > 5
• x ≤ -2 OR x > 5
• x ≥ -2 OR x < 5
• -2 ≤ x < 5

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

Write an inequality for Graph 2.

• -2 ≤ x < 5
• x ≤ -2 AND x > 5
• x ≥ -2 OR x < 5
• -2 ≤ x ≤ 5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12

0 < x + 7 < 9

• -7<x   and   x<2
• -7<x   or   x<2
• -7>x   and   x>2
• -7>x  or   x>2

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

• A
• B
• C
• D

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

3x-4< -13 or 7x+1> 22

• All Real numbers
•   x>3   and x>-9
• The answer is not listed
• x<-3   or x>3

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

Which compound inequality is graphed above?

• x >5 OR x< -2

• x >5 OR x> -2

• x< 5 AND x> -2

• x ≥5 AND x< -2

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.12

Solve the following compound inequality:

−4x + 1 ≤ 21 and 5x + 2 < 22

• x > −5 or x ≤ 4

• x ≥ −5 or x < 4

• x > −5 and x ≤ 4

• x ≥ −5 and x < 4

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

What inequality is graphed?

• x > 2 and x ≤ −3

• x > 2 and x < −3

• x > 2 or x ≤ −3

• x > 2 or x < −3

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12