Properties of Inequalities

Which of these graphs has a bounded solution set?

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Tags

CCSS.HSA.REI.D.12

What are the vertices of the inequality shown in the picture? (Check off all the answers that are correct)

• (0, 0)

• (1, 2)

• (-2, -3)

• (0, -2)

• (-3, -2)

Tags

CCSS.HSA.REI.D.12

For this image, is the solution set bounded or unbounded?

• Bounded, because the graph passes through the origin

• Unbounded, because the graph passes through the origin

• Bounded, because the graph continues forever downwards

• Unbounded, because the graph continues forever downwards

Tags

CCSS.HSA.REI.D.12

The vertices of a system of equations are shown in the picture.

If the function f(x, y) = -3x + 5y, then what are the minimum and maximum values?

• Maximum = 26, minimum = 10

• Maximum = 50, minimum = 40

• Maximum = 7, minimum = 5

• Maximum = 10, minimum = -6

The feasible region of a graph is the area showing all of the possible points that satisfy the system of inequalities.

What is another name for the feasible region?

• y-intercept

• rise over run

• solution set

• bounded region

Tags

CCSS.HSA.REI.D.12

Which graph represents the solution set to the system of inequalities?

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Tags

CCSS.HSA.REI.D.12

A system of inequalities has these vertices:

(-2. 1)

(-4, 3)

(5, 2)

If the solution set is defined by the function f(x, y) = -2x + 3y + 4, then what are the minimum and maximum values?

(Assume the graph has a bounded solution set.)

• Maximum = 3, minimum = -8

• Maximum = 24, minimum = 0

• Maximum = 24, minimum = 11

• Maximum = 11, minimum = 0

Solve the following inequality:

7b - 3 < 11

• b < 2

• 84 > b

• b > 2

• b < 84

Tags

CCSS.7.EE.B.4B

Which system of inequalities is shown?

• y ≥ -x - 1
  y < x + 4
• y < -x - 1
   y ≥ x + 4
• y > -x - 1
  y ≥ x + 4
• y > -x - 1
  y ≥ x + 3

Tags

CCSS.HSA.REI.D.12

Solve the system of inequalities by graphing.

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Tags

CCSS.HSA.REI.D.12