Systems of Inequality

Solve the system of inequalities. The feasible region is shown by the darkest blue shading.

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Tags

CCSS.HSA.REI.D.12

Which system of inequality 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 + 4

Tags

CCSS.HSA.REI.D.12

Is (-2,4) a solution to the system?

• Solution

• Not a solution

Tags

CCSS.HSA.REI.D.12

Which system of linear inequalities is represented by the graph?

• y≤2x-1
  y>-2x+3

• y>2x-1
  y≤-2x+3

• y<2x-1
  y≥-2x+3

• y≤2x-1
  y>2x+3

Tags

CCSS.HSA.REI.D.12

Find the values of x and y that maximize the objective function P = 3x + 2y for the graph. What is the maximum value?

• maximum value at (5, 4); 32

• maximum value at (0, 8); 16

• maximum value at (9, 0); 27

• maximum value at (0, 0); 0

Solve each of the following systems of linear inequalities a graphing approach. Verify using a graphing calculator. Which of following are the corner points?

• (2, 0), (4, 5), (6, 0)

• (2, 0), (3, 5), (0, 6)

• (0, 2), (3.5, 4.5), (6, 2)

• (0, 0), (3, 5), (6, 0)

You graph using Desmos.com and get the following graph. Which are vertices of the feasible region?

• (0, 0), (0, 6),

  (6, 2), (8, 0)

• (0, 0), (6, 0),

  (2, 6), (0, 8)

Tags

CCSS.HSA.REI.D.12

^{Which point is a solution to the system of inequalities?}

• (-8,2)

• (-2,-5)

• (0,6)

• (4, 3)

Tags

CCSS.HSA.REI.D.12

Which of the following is a solution to the systems of inequalities?

• (0, -2)

• (-3, 0)

• (-3, 2)

• (1, 1)

Tags

CCSS.HSA.REI.D.12

Solve the system of inequalities by graphing.

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Tags

CCSS.HSA.REI.D.12