Graphing Linear Inequalities and Tables

Which of the following inequalities matches the graph?

• x > -2

• x < -2

• y > -2

• y < -2

Select the correct graph for each inequality.

• A

• B

• C

• D

Determine if each ordered pair is a part of the solution set.

Groups:

(a) Solution

,

(b) Not a Solution

• (0,-3)

• (0,0)

• (-4,-3)

• (5,1)

• (5,0)

• (-2,1)

• (-3,-4)

• (3,5)

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

What kind of line will this graph have?

• Solid

• Dashed

Which point below is NOT part of the solution set?

• (3, 4)

• (0, 4)

• (-2, 6)

• (6, 2)

Which of the following inequalities matches the graph?

• y ≥ x + 2

• y ≤ x + 2

• y > x + 2

• y < x + 2

Match the inequality to the graph.

Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?

• 5x + 10 ≥ 100

• 5x - 100 ≥ 10

• 10x + 5 ≤ 100

• 5x + 10 > 100

• below

• above