Two Variable Inequalities and Systems

Today we're going to look at systems of inequalities (more than one inequality graphed at the same time).
Do you think (2, -2) would be a solution to this system?

• Yes

• No

Which point below is NOT part of the solution set?

• (0, -2)

• (1, 1)

• (3, 3)

• (2, 10)

Which point below is NOT part of the solution set?

• (3, 4)

• (0, 4)

• (-2, 6)

• (6, 2)

Is (-1, 0) a solution to this inequality?

• Yes

• No

Is (0, 0) a solution to this inequality?

• Yes

• No

Is (1, 6) a solution to this inequality?

• Yes

• No

Which of the following inequalities matches the graph?

• y > 2x - 2

• y < 2x - 2

• y ≥ 2x - 2

• y ≤ 2x - 2

Which of the following inequalities matches the graph?

• x > -2

• x < -2

• y > -2

• y < -2

Which of the following inequalities matches the graph?

• x ≤ -4

• x ≥ -4

• y ≤ -4

• y ≥ -4

Aleris is sending a fancy organic fruit basket to her grandma for her birthday.  Apples cost $3 and oranges cost $2.  Aleris can spend no more than $24 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