Compound Inequality Review

What inequality is graphed?

• 2 < x ≤ -3

• 2 < x < -3

• x > 2 or x ≤ -3

• x > 2 or x < -3

Select the correct inequality for the graph.

• -1 ≤ x < 6

• 1 ≤ x < 6

• 1 < x ≤ 6

• x ≤ 1 or x > 6

-2 < x - 9 < 3

• x < 12

• 7 < x

• 7 < x < 12

• x > 7 or x < 12

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

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

Every day, a man needs to eat more than 1800 but less than 1900 calories. Write an inequality representing the possible amount of calories you could get.

•  1800 ≤ c ≤ 1900
• 1800 ≤ c < 1900
• 1800 < c ≤ 1900
• 1800 < c < 1900

−6 < 2t − 5 < 3

• −0.5 < t < 4

• 0.5 < t < −1

• −11/2 < t < 2

• 11/2 < t < −2

Solve the following inequality. If the solution is a combination of two inequalities, separate them by a comma.

3n+6>12   or   4n−4<−8

Solve the following compound inequality. Express your solution in interval notation.

−11<−2x−7≤−7  

Solve:  |x + 3| < 8

• x > 5 or x < -11
• -11 < x < 5

• x > 11 or x < -5

• 5 < x < 11

Solve:
 |x + 3| > 8

• x > 5 or x < -11
• -11 < x < 5

• x > 11 or x < -5

• -5 < x < 11