Systems of Inequalities

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 of the following is not a solution to this system of inequalities?

• (0,-1)

• (0,3)

• (4,0)

• (6,-2)

Select the correct graph for each inequality.

• A

• B

• C

• D

Solve the system of inequalities by graphing.

• 
• 
• 
• 

• (1,3)

• (2,1)

• (3,4)

• (6,2)

Which of the following IS a solution to this system of inequalities? (more than one may be selected)

• (0,-1)

• (0,3)

• (-6,0)

• (6,-2)

• (8,5)

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

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

• (1,-4)

• (-3,1)

• (5,0)

Which is a solution to the system of inequalities?

• (4, -2)

• (4, 6)

• (-4, 2)

• (6, -2)

This system has an infinite number of solutions, TRUE or FALSE?

• TRUE

• FALSE