Two Step Inequalities with Variables on Both Sides

4x - 3 < -1x + 12

• x > 3

• x < 3

• x < 5

• x > 5

-2x + 2 > 3x - 8 

• x > -9

• x > 2

• x < -9 

• x < 2

3(x - 3) ≤ 2(x + 2)

• x ≤ -5

• x ≥ 5

• x ≥ 13

• x ≤ 13

The inequality shown below represents fees for two different apartments. 500x + 700 < 650x + 200 Which situation below does this inequality represent?

• Apartment A charges a $700 deposit and then $500 per month. Apartment B is equal to Apartment A charging $650 per month with a $200 deposit.

• Apartment A charges a $700 deposit and then $500 per month. Apartment B is greater than Apartment A charging $650 per month with a $200 deposit.

• Apartment A charges a $700 per month and then $500 deposit. Apartment B is greater than Apartment A charging $650 deposit with $200 per month.

• Apartment A charges a $700 deposit and then $500 per month. Apartment B is less than Apartment A charging $650 per month with a $200 deposit.

Solve the inequality

• A

• B

• C

• D

8g − 5g − 4 ≤ -3 + 3g 

• g ≤ 0

•  g ≤ 1 

• All Real Numbers are solutions

• No Solution

3x - 6 < 2(x + 9)

• x<24

• x>12

• x<12

• x>24

8g − 5g − 4 ≤ -3 + 3g 

• g ≤ 0

•  g ≤ 1 

• All Real Numbers are solutions

• No Solution

7(x + 3) < 5x + 13

• x>-4

• x < 17

• x<-4

• x > -17

Solve for t.

6t + 4 ≤ -2

• t ≤ -1 

• t ≤ 1

• t=1

• 1=t