Compound Inequalities

-2 < x - 9 < 3

• x < 12

• 7 < x

• 7 < x < 12

Solve and graph:

• A
• B
• C
• D

Solve:

• A
• B
• C
• D

Write an inequality for Graph 3.

• 5 < x ≤ -2

• x ≤ -2 OR x > 5

• x ≥ -2 OR x < 5

• -2 ≤ x < 5

What inequality is graphed?

• 2 < x ≤ -3

• 2 < x < -3

• x > 2 or x ≤ -3

• x > 2 or x < -3

Solve:  -3 ≤ 2x - 1 ≤ 5

• -1 ≤ x ≤ 3
• -1 < x < 3
• 1 < x < 3
• 1 ≤ x ≤ 3

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

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

• -6<x<3
• x<-3 and x>6
• x<-6 or x>3
• No Solution

Write an inequality for Graph 4.

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

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