Systems of Linear Inequalities

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (2, 0)

Solve the system of inequalities by graphing.

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Solve the system of inequalities by graphing.

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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

Which ordered pair(s) is a solution to the given system?

• (5, -5)

• (0,0)

• (-5, -2)

• (3,-3)

Which are vertices of the feasible region?

• (0, 3) (3, 0) (5, 8)

• (0, 6) (3, 5) (6, 5)

• (3, 3) (8, 5) (5, 8)

• (0, 5) (6, 0) (3, 3)

Write the system of inequalities
Carlos works at a movie theater selling tickets. The theater has 300 seats and charges $7.50 for adults and $5.50 for children. The theater expects to make at least $2000 for each showing.  

• x+y≤300
  7.5x+5.5y≥2000

• x+y<300
  7.5x+5.5y≥2000

• x+y≤300
  7.5x+5.5y≤2000

• x+y>2000
  7.5x+5.5y≤300

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 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

Sarah makes small purses (x) and big purses (y). She can make no more than 8 purses a week.
Which inequality represents the situation?

• x + y ≤ 8

• x + y ≤ 6

• 2x + 3y ≤ 6

• x + y ≤ 10