Solving and Graphing Linear Inequalities

What inequality does the number line graph represent?

• x ≤ 4
• x ≥ -4
• x < -4
• x < 4

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

• ≤, ≥ 
• <, >

• x > 2
• x > 5
• x >15
• x > 50

10 - 3x < 16

• x < -2

• x > -2

• x < 2

• x > 2

What inequality is graphed?

• x > 2 and x < 4

• 2 ≤ 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

Could x = 3 be solution to the inequality 
6 < x + 5 ≤ 11? 

• Yes 
• No 

Write an inequality for Graph 3.

• x ≤ −2 AND x > 5

• x ≤ −2 OR x > 5

• x ≥ −2 OR x < 5

• −2 ≤ x < 5

What inequality is shown?
Pay close attention to the signs!

• x ≥ 0 OR x < 5
• 0 ≤ x ≤ 5
• 0 ≤ x < 5
• 0 ≥ x > 5

Which point below is NOT part of the solution set?

• (0, 0)
• (-10, -10)
• (-1, 5)
• (5, 20)