Two Variable Inequalities

Which point below is NOT part of the solution set?

• (0, -2)

• (1, 1)

• (3, 3)

• (2, 10)

Is (-1, 0) 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

Which of the following inequalities matches the graph?

• y > 2x - 2

• y < 2x - 2

• y ≥ 2x - 2

• y ≤ 2x - 2

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

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

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

Which of the following inequalities matches the graph?

• y < -4x - 1

• y < -(1/4)x - 1

• y < 4x - 1

• y < -4x - 1

What is the inequality represented here? 

• y < -2| x | + 3

• y > 2| x | - 3

• y ≤ 2| x | + 3

• y ≤ -2 | x | + 3