Two-step Inequalities

Do I need to flip my sign?
-3x  ≥ 12

• Yes
• No

Do I need to flip my sign?
3x  ≥ 12

• Yes
• No

-3x − 4 < 5

• x > -3
• x < -3
• x < (1 ⁄ 3)
• x > (1 ⁄ 3)

Solve for k. 

7k – 2 ≥ -9

• k ≤ -1
• k≤1
• k≥1
• k ≥ -1

Solve for k.
2k - 9≤ -19

• k ≤ -5
• k ≤ 5
• k < -5
• k < 5

Solve the inequality.
-3w - 2 < -17

• w < 7.67
• w > 5
• w < 5
• w < 6.33

Solve and graph the inequality.
77 ≤ 5 + 8n

• A
• B
• C
• D

Solve and graph the inequality.
-169 ≤ 8m - 9

• A
• B
• C
• D

You flip an inequality symbol when you...

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

-75 + 50x < 125

• x < 4
• x > 4
• x < 10 
• x > 10