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START

Objectives - solve multi-step inequalities - solve inequalities with variables on both sides

multi-step inequalities

recall

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3(4x - 5) = -39

Graph with a closed circle.Boundary point included in solution set.
Graph with an open circle.Boundary point is NOT included in solution set.

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recall

Flip the sign when you divide or multiply across the inequality by a negative!

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recall

Use the same steps to solveRemember to graph!

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3(4x - 5) > -39

4(2x−3)+2 < −2

solve & graph

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solve & graph

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zoom poll

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real world scenario

The area of the rectangle below is at least 150 sqaure feet. The length is (2x−3) feet. The width is 10 feet. Given this information, find the value of x and the measure of each missing side.

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solve & Graph

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solve & Graph

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5(x - 8) +5x < 2(3x + 4)a. x > 12b. x < 12c. x < 3

zoom poll

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real world scenario

Car rental company A charges an initial fee of $200 plus $65 per day to rent a vehicle. Car rental company B charges an initial fee of $250 plus $55 per day to rent a vehicle. For how many days will renting a vehicle from company A cost less than renting from company B?

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Which inequality represents the scenario:Carwash A charges $25 for the outside and $3 per inside window. Carwash B charges $30 for the outside and $2.50 per window.When is Carwash A less expensive than Carwash B?A. 25 + 3w > 30 + 2.50wB. 25 + 3w < 30 + 2.50wC. 30 + 2.50w < 25 + 3w

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zoom poll

way to go!

You should be able to solive multi-step inequalities with variables on both sides.

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