Creating Inequalities Using Two Variables

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

Which of the following inequalities matches the graph?

• y < -4x - 1

• y > -4x - 1

• y ≤ -4x - 1

• y ≥ -4x - 1

Which of the following inequalities matches the graph?

• y ≥ x + 2

• y ≤ x + 2

• y > x + 2

• y < x + 2

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 equations match the given graph?

• y ≤ -3/4 x + 3

• y ≥ -3/4 x + 3

• y < -3/4 x + 3

• y > -3/4 x + 3

What is the inequality represented here? 

• y < -2| x | + 3

• y > 2| x | - 3

• y ≤ 2| x | + 3

• y ≤ -2 | x | + 3