Module 1 Session 1_Linear Inequalities

Select the solution set for the inequality 5x - 11 > 2x +1

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A vendor at a state fair sold corn dogs for $3 each. At noon, the vendor had a revenue of $120 from his sales that day. He hoped to have total revenue of over $750 by the end of the day. The inequality 120+3d>750 can be used to determine the number of corn dogs, d, that he would need to sell during the remainder of the day to reach his goal. Which statement about the number of corn dogs that he needs to sell after noon is true?

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Solve the following inequality for x:

-12 < 2x + 8 < 14

• -14 < x < -1

• -10 < x < 3

• -2 < x < 3

• -2 < x < 11

Which of these graphs represents the solution to the inequality pictured (3x plus 3 is less than or equal to negative 6)?

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Which of these graphs represents the solution of the inequality pictured?

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Which of these graphs represents the solution of |2x + 4| < 6?

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Solve the following inequality for x:

-4 < |x + 2| < 8

• -10 < x < 6

• -10 > x and x > 6

• -6 < x < 6

• -6 > x and x > 6

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The solution to a system of inequalities is shown on the graph pictured. Which ordered pair is not included in the solution set for the system?

• (-2, 0)

• (0, 0)

• (1, -2)

• (2, 0)

The solution to a system of inequalities is shown on the graph pictured. Which system of inequalities is graphed on the coordinate grid?

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