Two-Step Inequalities

You flip an inequality symbol when you...

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

Solve 8 + 4x > 24

• x > 4
• x > 8
• x > 64
• x < 8

Do you need to flip the sign?

-6x - 6 < 30

• Yes

• No

Do you need to flip the sign?

x/3 + 5 > -10

• Yes

• No

Solve the inequality.

-7x - 4 > 17

• x < -3

• asdfsd

What inequality does the number line graph represent? (Hint: You may have to solve each inequality.)

• x + 2 < 5
• 3x ≥ 9
• 2x - 1 > 5
• x + 3 < 0

-9a - 1 < 26

• a < -3
• a < 3
• a > -3
• a > 3

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)