Compound Inequalities

When you graph an inequality, you used a closed dot when you use which symbols?

• ≤, ≥ 
• <, >

When graphing an inequality, you use an open dot when you use which symbol?

• <, >
• ≤, ≥ 

What inequality is graphed? 

• x > 2 and x ≤ -3
• x > 2 and x < -3
• x > 2 or x ≤ -3
• x > 2 or x < -3

Write an inequality for Graph 4.

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

Solve: -3 ≤ 2x - 1 ≤ 5

• -1 ≤ x ≤ 3

• -2 ≤ x ≤ 6

• -3 ≤ x ≤ 3

• 1 ≤ x ≤ 3

x + 8 < 3 or - 8x < -40 

• x > -5 or x < 5
• x < -5 and x > 5
• x < -5 or x > 5 
• x > -5 and x < 5 

Solve:

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

• All real numbers

• x < -3 and x > 1

• x < -3 or x < 1

• x < -3 or x > 1

Give the solution set for: -13<2x+5<15

• -9>x>5

• -9<x<5

• -4<x<5

• -4>x>5

• A
• B
• C
• D

Solve and give the final solution set:

-4x + 1 ≤ 21 and 5x + 2 < 22

• All real numbers

• x ≥ -5 or x < 4

• No Solution

• x ≥ -5 and x < 4