Compound Inequalities

Solve and graph:

• A
• B
• C
• D

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.12

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.CED.A.1

CCSS.HSA.REI.D.12

-8<2(x+4) or -3x+4>x-4

• No solutions
• x<-8 or x<2
•  x>-8 or x<2
• x<-8 and x<2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

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.CED.A.1

CCSS.HSA.REI.B.3

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.REI.B.3

CCSS.HSA.REI.D.12

What inequality is graphed?

• x > 2 and x < 4

• 2 ≤ x ≤ 4

• x > 2 or x < 4

• x ≥ 2 or x ≤ 4

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.12

Solve: 
-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.CED.A.1

CCSS.HSA.REI.B.3

Solve:  
3x + 2 < -4  or  4x + 4 > 24

• x < -2  or  x > 5 
• x < 2  or  x > 5
• x < -2  and  x > 5 
• x < 2  and  x > 5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Your taxi fare is $2.50 per mile, plus a $5 fee. You have a budget of $20. Which inequality models this scenario?

• 5x + 2.50 ≤ 20

• 2.50x + 5 < 20

• 2.50x + 5 ≤ 20

• 7.50x < 20

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

You take a trip to the bowling alley, where each game cost $2, plus you plan to spend $10 on food.  You can spend at most $25.  Which inequality models this scenario?

• 2x + 10 ≥ 25
• 2x + 10 > 20
• 2x + 10 ≤ 25
• 2x + 10 < 25

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3