Solving Inequalities: Linear, Absolute Value, Quadratic

Match the graph with its inequality.

• x > 11

• x < 11

• x ≤ 11

• x ≥ 11

Solve the inequality.

- 2x > 18

• x is greater than 20

• x is less than negative 9

• x is greater than negative 9

• x is less than 36 

Answer explanation

Don't forget to flip the sign when we divide by a negative number!

Solve the inequality.

-8x < 48

• x < -6
• x > -6
• x < 6
• x > 6

Answer explanation

don't forget to flip the inequality sign when dividing by a negative number

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

• ≤, ≥ 
• <, >

Solve the inequality.

7x - 3 < 11

• x < 2

• x > 84

• x > 2

• x < 84

Which number line represents the inequality.
x < 6

• A
• B
• C
• D

Answer explanation

open dot because of the inequality sign ( < > )

"x is smaller than 6"

arrow should be pointing towards numbers smaller than 6

Solve the inequality.

-2(x+2) < 14

• x < - 5
• x > -5
• x < -9
• x > -9

What inequality does the number line graph represent?

• x ≤ -4

• x ≥ -4

• x < -4
• x < 4

What inequality does the number line graph represent?

• x ≥ 3 

• x > 3
• x < -3
• x ≤ 3