Application of Inequalities with Two Variables

Which of the following inequalities matches the graph?

• 4x > -2

• 4x < -8

• 4y > -8

• 4y < -2

Which of the following inequalities matches the graph?

• -3x > 12

• -3x < 12

• -3y ≤ 12

• -3y ≥ 12

Select the correct graph for each inequality.

• A

• B

• C

• D

In order to make some extra money, Justin is mowing lawns. He charges $11 to mow a small lawn and $26 to mow a large lawn. He would like to make at least $130.
Write an inequality that describes the situation.
Let x = # of small lawns mowed
Let y = # of large lawns mowed

• 11x + 26y ≥ 130

• 11x + 26y ≤ 130

• 11x + 26y > 130

• 11x + 26y < 130

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 (-2, 4) 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