Linear Inequalities Application

What inequality does the number line graph represent?

• x ≥ 3

• x > 3

• x < -3

• x ≤ -3

Consider the function y < 2x+3. Which is true?

• The line would be solid with shading above.

• The line would be dashed with shading above.

• The line would be solid with shading below.

• The line would be dashed with shading below.

Which point below is NOT part of the solution set?

• (0, 0)

• (-10, -10)

• (-1, 5)

• (5, 20)

Which of the following equations match the given graph?

• x ≥ -1

• x ≤ -1

• x > -1

• x < -1

Solid or dashed line?  
Y ≥

• Solid

• Dashed

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

Which inequality is equivalent to 
-y < x - 8 ?

• y < x + 8

• y > x + 8

• y > -x + 8

• y < -x + 8

• y ≤ -2x - 1
• y ≥ -2x - 1
• y ≤ 2x - 1
• y ≥ 2x - 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

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