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

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Presentation transcript:

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

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

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

Guided Practice 1.6x + 14 < x - 4 ≤ 17

Independent / Group Practice 1.5x + 2 > 3x x - 4 ≥ -31

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)($)

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

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