Linear and Compound Inequalities

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

• A

• B

• C

• D

Solve:
3x + 2 < -7 or -4x + 5 < 1

• x < -3 and x < 1

• x < -3 and x > 1

• x < -3 or x < 1

• x < -3 or x > 1

Which point below is NOT part of the solution set?

• (0, 0)

• (-10, -10)

• (-1, 5)

• (5, 20)

Solve:  -3 ≤ 2x - 1 ≤ 5

• -1 ≤ x ≤ 3

• -1 < x < 3

• 1 < x < 3

• 1 ≤ x ≤ 3

Select the correct graph for each inequality. y≤ -¾x -1

• A

• B

• C

• D

Tags

CCSS.HSA.REI.D.12

Write the linear inequality in standard form for this situation: In order to raise money to attend upcoming competitions, the Math Pentathalon team is selling apple cider and hot chocolate. They hope to make at least $240 by selling hot chocolate for $1 a glass and hot apple cider for $2 a glass.

• x + 2y < 240

• x + 2y > 240

• x + 2y ≤ 240

• x + 2y ≥ 240

x+2<-4 or -5x<-15

• -6<x<3

• x<-3 and x>6

• x<-6 or x>3

• No Solution

Solve and graph:

• A

• B

• C

• D

Solve and graph 3d - 4 < -7 OR 5d + 2 >12

• 
• 
• 
•