Systems of Linear 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

Tags

CCSS.HSA.REI.D.12

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

• (0,-1)

• (0,3)

• (4,0)

• (6,-2)

Tags

CCSS.HSA.REI.D.12

Tell whether the ordered pair 
(-3, 0) is a solution of the given system.
y ≤ x + 4
y ≥ 2x - 6

• Yes

• No

Solve the system of inequalities by graphing.

• 
• 
• 
• 

Tags

CCSS.HSA.REI.D.12

Which system of inequalities matches this graph?

• y≥-2x+3
  y≤x-3

• y>2x+3
  y≥x-3

• y>-2x+3
  y≥x-3

• y<-2x+3
  y≤x-3

Tags

CCSS.HSA.REI.D.12

Which system of inequalities is represented by the graph?

• x≤-2
  y≤x-3

• y≤-2
  y≤x-3

• x≥-2
  y≤x-3

• y≥-2
  y≤x-3

Tags

CCSS.HSA.REI.D.12

Which of the following is NOT a solution to the systems of inequalities?

• (0, 0)

• (3, -2)

• (3, -4)

• (4, -4)

Tags

CCSS.HSA.REI.D.12

Which is a solution to the system of inequalities?

• (4, -2)

• (4, 6)

• (-4, 2)

• (6, -2)

Tags

CCSS.HSA.REI.D.12

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

• (1,3)

• (2,1)

• (3,4)

• (6,2)

Tags

CCSS.8.EE.C.8B