Linear Inequalities in Two Variables and Linear Programming

a set of inequalities with the same variables.

• system of inequalities

• equations

• system of equations

• solution region

x+y>5 is an example of what?

• two-variable inequality

• one-variable inequality

• two-variable equation

• one-variable equation

Select the solution of the inequality

• 
• 
• 
• 

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

Which ordered pair IS a solution of the inequality shown in the graph?

• (1, 0)

• (2, -2)

• (-1, -1)

• (-1, 3)

Choose the correct inequality for this graph.

Justin charges RM11 to mow a small lawn and RM26 to mow a large lawn. He would like to make at least RM130.

Write an inequality that describes the situation.

Let x = # of small lawns mowed and

Let y = # of large lawns mowed

• 11x + 26y ≥ 130

• 11x + 26y > 130

• 11x + 26y ≤ 130

• 11x + 26y < 130

Aleris is sending a fancy organic fruit basket to her grandma for her birthday. Apples cost RM3 and oranges cost RM2. Aleris can spend no more than RM24 on the gift. Write an inequality that describes the situation. Let x = # of apples Let y = # of oranges

• 3x + 2y < 24

• 3x + 2y ≤ 24

• 3x + 2y > 24

• 3x + 2y ≥ 24

Which point below is NOT part of the solution set?

• (0, 0)

• (-10, -10)

• (-1, 5)

• (5, 20)

Which point below is NOT part of the solution set?

• (0, 0)

• (5, 1)

• (-1, -3)

• (20, -5)