Solving Compound Linear Inequalities

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

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

Solve:

• A
• B
• C
• D

0 < x + 7 < 9

• -7<x   and   x<2
• -7<x   or   x<2
• -7>x   and   x>2
• -7>x  or   x>2

Solve and graph:

• A
• B
• C
• D

Write an inequality for Graph 3.

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

Write an inequality for Graph 2.

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

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

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

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

Which number is not a possible solution to the compound inequality -5 < x ≤ 0

• -3
• -1
• 0
• -5

Which number is not a possible solution for the compound inequality:  x > 8 or x < -1

• 10
• 5
• -5
• -10