Determining Solutions to Inequalities

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

• Yes

• No

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

• (5,1)

• (5,0)

• (-3,-4)

• (0,-3)

• (-2,1)

• (-4,-3)

• (3,5)

• (0,0)

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

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

Which of the following inequalities matches the graph?

• y < -4x - 1

• y > -4x - 1

• y ≤ -4x - 1

• y ≥ -4x - 1

Are the points on the boundary line part of the solution set or not?

• Yes, they are part of the solution set

• No, they are NOT part of the solution set

Which of the following inequalities matches the graph?

• x ≤ -4

• x ≥ -4

• y ≤ -4

• y ≥ -4

Are the ordered pairs on the boundary line a part of the solution?

• Yes, the ordered pairs on the boundary line are a part of the solution

• No, the solutions on the boundary line are not a part of the solution