Intro to Linear Inequalities

How can I tell if an inequality will have a solid line?

• It has an equal sign.

• The symbol is greater than.

• The symbol has "or equal to."

• You just guess.

Which of the following equations match the given graph?

• x ≥ -1

• x ≤ -1

• x > -1

• x < -1

Which of the following equations match the given graph?

• y ≤ -3/2 x + 3

• y ≥ -3/2 x + 3

• y < -3/2 x + 3

• y > -3/2 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.

• None of these.

Select the graph for y ≥ -3.

• A

• B

• C

• D

Sarah makes small purses (x) and big purses (y). She can make no more than 8 purses a week.

Which inequality represents the situation?

• x + y ≤ 8

• x + y > 8

• 2x + 3y ≤ 6

• x + y ≤ 10

Solve the system of inequalities. The feasible region is shown by the darkest blue shading.

• 
• 
• 
• 

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

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

Is the point (3, 1) a solution for the following inequality? Choose the best answer that has the best explanation.

• Yes because it is located in the shaded region.

• No because it is located on the line and the line is dotted.

• Yes because it is located on the line.

• No because it is in the shaded region.