Unit 4 Part 2: Graphing linear inequalities

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.

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 point below is NOT a part of the solution set?

• (0, 0)

• (0, 1)

• (-100, -3)

• (5, 10)

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?

• y ≤ -3/4 x + 3

• y ≥ -3/4 x + 3

• y < -3/4 x + 3

• y > -3/4 x + 3

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

Select the correct graph for each inequality.

• A

• B

• C

• _D

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.

Which of the following is true of the given graph?

y ≥ -2x + 1

• The graph is a dotted line, shaded above.

• The graph is a solid line, shaded above.

• The graph is a dotted line, shaded below.

• The graph is a solid line, shaded below.

Are the points on the boundary 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