Determining Solution Set and Point Satisfaction Inequalities

Is (-2, 4) 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

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

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

Yumi is determining the seating arrangement for her big dinner party.  Circular tables will seat 8 guests and rectangular tables can seat 10 guests.  Together, all of the tables must seat at least 162 guests.
Write an inequality that describes the situation.
Let x = # of circular tables
Let y = # of rectangular tables

• 8x + 10y < 162

• 8x + 10y > 162

• 8x + 10y ≤ 162

• 8x + 10y ≥ 162

Which inequality is graphed on the given coordinate plane?

•  y > x + 1

• y < x + 1

• y ≥ -x + 1

• y ≤ -x + 1

Which point is a solution of the system above?

• (0, 0)

• (0, 1)

• (1, 0)

• (1, 1)