Graphing Inequalities with Two Variables

Which point below is NOT part of the solution set?

• (0, -2)

• (1, 1)

• (3, 3)

• (2, 10)

y<x-3

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• 
• 
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Which of the following inequalities matches the graph?

• y ≥ x + 2

• y ≤ x + 2

• y > x + 2

• y < x + 2

Select the correct graph for each inequality.

• A

• B

• C

• D

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

Select the correct graph for each inequality.

• A

• B

• C

• D

Which inequality represents the graph?

• x ≤ -2

• x + 2y ≤ 6

• y ≤ -2x

• y < -2

Which inequality represents the graph?

• x ≥ -2

• y > -2x

• y ≥ -2

• y < -1/2x + 3

Which inequality represents the graph?

• 0.6x - 3y < 4.5

• 5x + 2y > 6

• 3x - 2y < 12

• y ≥ -6 + 3/2x

Which inequality represents the graph?

• y < x/5 - 3/2

• y ≥ -5/2x + 3

• 2x - 3y < 12

• y < -2/3x + 4