Systems of Inequalities

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

• Solution

• Not a solution

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

• (1, -5)

• (2, 3)

• (-2, 3)

• (-1, 1)

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

Which graph represents this system of inequalitite?

• A

• B

• C

• D

• (1,3)

• (2,1)

• (3,4)

• (6,2)

Lisa gives child(x) and adult(y) haircuts in her salon. She charges $10 for a child and $40 for an adult haircut. Her goal is to make at least $1000 per week and work no more than 40 hours. The shaded region of the graph represents the possible combinations of adult and child haircuts that will allow her to meet her goal. Which combination represents her maximum profit?

• 10 adult haircuts and 60 child haircuts

• 20 adult haircuts and 40 child haircuts

• no adult haircuts and 80 child haircuts

• 40 adult haircuts and no child haircuts

Solve the system of inequalities by graphing.

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Solve the system of inequalities by graphing.

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Identify the correct system of inequalities.

• y < x−2

  y < 3

• y > -x+2

  y > 3

• y < -x+2

  y < 3

• y < -x+2

  y > 3

Select the correct graph for each inequality.

• A

• B

• C

• D