Compound Inequalities

2<x+2<5

• 0<x<3

• 4<x<7

• 4<x<3

• 0<x<7

What inequality is graphed?

• x > 2 and x < 4

• x ≥ 2 and x ≤ 4

• x > 2 or x < 4

• x ≥ 2 or x ≤ 4

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

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

Write the inequality in interval notation.

• (-2,5)

• (-∞,-2) or (5,∞)

• [-2,5]

• (-∞,-2] or [5,∞)

Look at the picture. Which number line corresponds to [-2, 5]?

• Graph 1

• Graph 2

• Graph 3

• Graph 4

Tags

CCSS.6.EE.B.8

Solve and graph:

• A

• B

• C

• D

Solve and graph

• A

• B

• C

• D

Look at the graph. Write the inequality in interval notation.

• (-2,5)

• (-∞,-2)⋃(5,∞)

• [-2,5]

• (-∞,-2]∪[5,∞)

-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