1. OBJECTIVE I will solve multi-step inequalities using inverse operations.

2. Multi-Step Inequalities Solve 3n + 2 ≤ 14. 3n + 2 ≤ 14Original Inequality - 2 - 2Inverse Operations 3n ≤ 12Subtract 2 from both sides 3 3Divide both sides by 3 n ≤ 4Simplify

3. Multiplying or Dividing by a Negative Number Solve 11 - 2x ≥ 3x + 16 11 - 2x ≥ 3x + 16Original Inequality -11 - 3x -3x - 11Put variable on one side and constant on other -5x ≥ 5 -5 -5Divide both sides by -5 x ≤ -1Simplify; Reverse inequality sign

4. Guided Practice 1.6x + 14 < 38 2.-3x - 4 ≤ 17

5. Independent / Group Practice 1.5x + 2 > 3x - 16 2.9x - 4 ≥ -31

6. Writing and Using a Linear Model You wash dishes in a restaurant and earn $5.15 per hour. How many hours must you work to make at least $200 to buy a new snowboard? Hourly + Number of ≥ Desired Wage hours worked income 5.15x200 ($/hr)(hr)($)

7. Writing and Using a Linear Model 5.15x ≥ 200Substitute 5.15 5.15Divide each side by 5.15 x ≥ 38.835… You must work at least 39 hours to buy a new snowboard.

8. Independent Practice 1.7x - 3 > 32 2.-4x + 13 ≤ -3 3.18x - 7 > 16x + 9 4.If you make $20 per hour, how many hours would you have to work to purchase a television that costs $1730?