Graph the Solution Set of Linear Inequalities

Select the correct graph for each inequality. y≤ -¾x -1

• A

• B

• C

• D

Select the graph for y ≥ -3.

• A

• B

• C

• D

Select the graph for 5x+ y ≤  -1 .

• A

• B

• C

• D

Which of the following equations match the given graph?

• y  < 2/5x + 1

• y ≥ -2/5x + 1

• y ≤  2/5x + 1

• y ≥ -2/5x - 1

Write the linear inequality in standard form for this situation: In order to raise money to attend upcoming competitions, the Math Pentathalon team is selling apple cider and hot chocolate. They hope to make at least $240 by selling hot chocolate for $1 a glass and hot apple cider for $2 a glass.

• x + 2y < 240

• x + 2y > 240

• x + 2y ≤ 240

• x + 2y ≥ 240

Match, the solutions is the purple area

• y > -4/5x - 1 and y ≤ 2/3x + 3

• y ≥ -4/5x - 1 and y ≤ 2/3x + 3

• y < -4/5x - 1 and y < 2/3x + 3

• y < -4/5x - 1 and y ≥ 2/3x + 3

Match

• y ≥ -x - 1 and y < x + 4

• y < -x - 1 and y > x + 4

• y > -x - 1 and y ≥ x + 4

• y < -x - 1 and y ≥ x + 4

The members of a new band want to spend no more than $75 for at least 60 fliers to advertise their upcoming concert.  The cost color fliers is $1.50 each, the cost of black and white fliers is $0.75 each. Which of the following combinations is a reasonable solution?

• 26 color, 30 black and white

• 30 color, 35 black and white

• 60 color

• 30 color, 50 black and white

Graph each system of linear inequalities and describe the solutions.
y > x + 1
y < x - 4

• Between the graphs

• above the graph y > x + 1

• below the graph y < x - 4

• No Solution

Are the points on the 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