Nonlinear System of Inequality

Identify the solutions to the system of inequalities. Select all that apply.

• (0, 0)

• (4, 0)

• (0, 4)

• (-2, 0)

Identify the solutions to the system of quadratic inequalities. Select all that apply.

• {(0, 1)}

• {(1, 0)}

• {(-1, 0)}

• {(0, -1)}

Match the graph to its inequality.

• y > -x² - 5x - 6

• y > x² + x - 6

• y < x² - 5x + 6

• y < -x² - x + 6

Solve the system of inequalities by graphing.

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Determine the system of inequalities. Select two inequalities.

Determine the system of inequalities. Select two inequalities.

Cullin needs to save at least $100 for homecoming. He works 2 jobs earning $8/hour at Culvers and $25/hour mowing lawns. He only has time to work 14 hours before homecoming.

• x + y  ≥ 25
  x + y ≤ 8

• 100x + 25 y ≤ 100
  2x + 8y ≤ 14

• x + y ≥ 100
  8x + 25y ≤ 14

• 8x + 25y ≥ 100
  x + y ≤ 14

Which system of inequality is shown?

• y > -1/5x - 1/2  
   y ≥ -2x - 4

• y > -1/5x - 1/2  
   y ≤ -2x - 4

• y ≥ -1/5x - 1/2
   y ≤ -2x - 4

• y < -1/5x - 1/2  
  y ≥ -2x - 4

Identify the graph represented by the following system of inequalities.

2x - y > 4

4x + 2y < 6

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Identify all solutions for the graph

• (2, 3)

• (4, -2)

• (2, -4)

• (-2, 0)