Systems of Linear 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?

• (0, 0)

• (1, 1)

• (-4, -2)

• (4, -2)

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

Which system of inequalities matches the graph?

• y > 2x - 4
  y < 2
• y < 2x - 4
  y < 2
• y > 2x - 4
  y <  2 
• y < 2x - 4
  y <   -2

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

• TRUE
• FALSE

Solve the system of inequalities by graphing.

• 
• 
• 
• 

Rewrite this inequality in "slope-intercept
form. 
3x - 6y > 12

• y > -3x - 2

A deli sells ham subs (h) for $6 each and meatball subs (m) for $8 each. The deli sells less than 40 subs on Monday. The total amount for all sales is less than $200. Which system of inequalities models this situation?

Colin needs to save at least $200 for homecoming. He works 2 jobs earning $9/hour at Wawa and $25/hour mowing lawns. He only has time to work at most 16 hours before homecoming.

• x + y ≥ 25

  x + y ≤ 9

• 100x + 25 y ≤ 200

  2x + 9y ≤ 16

• x + y ≥ 200

  9x + 25y ≤ 16

• 9x + 25y ≥ 200

  x + y ≤ 16

Homer sells tickets for admission to your school play and collects at least $104. Admission prices are $6 for adults and $4 for children. He sold less than 21 tickets. Write a system to represent this situation assuming "a" represents # of adult tickets and "c" represents # of children's tickets.

• a + c < 21
  6a + 4c ≥ 104

• a + c ≤ 104
  6a + 4c > 21

• a + c > 21
  6a + 4c ≤ 104

• a + c < 104
  6c + 4a ≥ 21