System of Equations and Inequalities

Which of the following are solutions to the system shown? SELECT ALL THAT APPLY.

• (0,-1)

• (0,3)

• (4,0)

• (-4, 0)

• (6, -2)

Match the system to the graph shown

• y ≤ 3x

  y ≤ -2x + 4

• y > 3x

  y > -2x + 4

• y < 3x

  y > -2x + 3

• y > 3x

  y < -2x + 4

What are the two linear inequalities graphed here?

• y ≤ - x + 4
   y < x - 2

• y ≤ - x + 4
   y > x - 2 

• y ≤ - 2x + 4
   y > 2x - 2

• y ≤ - x + 2
   y > x - 4

Michelangelo decided to order Pizza Hut last night. He purchased 3 pizzas and 2 orders of breadsticks for a total of $29.50. Donatello ordered 2 pizzas and 3 orders of breadsticks last Sunday for a total of $23. Set up a system. Let "p" represent the price per pizza and "b" represent the price of an order of breaksticks.

• 3p + 2b = 29.50
  2p + 3b = 23

• 3p + 2b = 23
  2p + 3b = 29.50

• 3b + 2p = 29.50
  2b + 3p = 23

• 5bp = 29.50
  5bp = 23

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

• (0, -2)

• (-3, 0)

• (-3, 2)

• (1, 1)

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

• Solution

• Not a solution

Identify the graph represented by the following system of inequalities.

2x - y > 4

4x + 2y < 6

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Solve the system of inequalities by graphing.

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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

In other words...what are the vertices of the feasible region?

• (0, 0), (0, 6), (6, 2), (8, 0)

• (0, 0), (6, 0), (2, 6), (0, 8)