Solving One and Two Step Inequalities with Graphing

You flip an inequality symbol when you...

• subtract
• multiply and divide only
• multiple by a negative number
• multiple or divide by a negative number

Does the inequality sign flip?
2x < 20

• Yes
• No

Does the inequality sign flip?
-12y < -24

• Yes
• No

Solve: x + 3 < − 5

• x < − 2
• x < − 8
• x > − 8
• x > − 2

Solve the inequality.
x + 5 ≤ 13

• x ≥ 8
• x ≥ 18
• x ≤ 8 
• x ≤ 18 

Pick the correct inequality.

• A
• B
• C
• D

Which is the solution of 
-6a ≥ -36

• a ≥ 6
• -6 ≥ a
• a ≤ 6
• 6 ≤ a

-9a - 1 < 26

• a < -3
• a < 3
• a > -3
• a > 3

Solve for k. 

7k – 2 ≥ -9

• k ≤ -1
• k≤1
• k≥1
• k ≥ -1

Solve and graph the inequality.
7n - 1 > 76

• A
• B
• C
• D