Linear Inequalities 3D/2H

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Bobby cleans houses. He charges customers $35/hour for the basic package and $65/hour for the premium package. Last week Bobby earned no more than $795. Which inequality represents the possible combinations of x basic packages and y premium packages that Bobby cleaned.

Which ordered pair is in the solution set of

8x + 16y > 32

• (0, 2)

• (-3, 5)

• (-1, 1)

• (4, 0)

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Which 2 points are solutions to the inequality?

• (0, -3)

• (-3, 0)

• (-5, 0)

• (0, 5)

• (-6, 9)

A waitress has two different jobs. Her combined work schedules consist of no less than 54 hours in one week.

Which graph best represents the solution set for all possible combinations of x, the number of hours she worked at her first job, and y, the number of hours she worked at her second job, in one week?

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Which inequality symbol do you use when you have a dotted line and shaded above?

Which inequality symbol do you use when you have a solid line and shaded below?

• (-5, -9)

• (6, 7)

• (0, 6)

• (6, 0)

• (-9, -5)

Patrick and Selena own an art gallery together. Patrick can paint 4 artworks in one week. Selena can paint 6 artworks in one week. Their gallery can have a maximum of 70 artworks at one time.

Which inequality represents the possible combinations of x, the number of Patrick's artwork, and y, the number of Selena's artwork.