Linear Inequalities

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

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

Which point is not a solution?

• (1, 3)

• (-1, 2)

• (3, -2)

• (5, 0)

Which point is a solution?

• (0, 6)

• (-3, 4)

• (1, 0)

• (-4, 3)

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

• y < -3/4x - 2 
• y > -3/4x - 2 
• y ≤ -3/4x - 2 
• y ≥ -3/4x - 2 

• x < 4
• x > 4
• x ≤ 4
• x ≥ 4