Representing solutions of linear inequalities in two variables on a graph

Select the correct graph for each inequality.

• A
• B
• C
• D

Consider the function y < 1/2x + 3. Which is true?

• The line would be solid with shading above.

• The line would be dashed with shading below.

• The line would be solid with shading below.

• The line would be dashed with shading above.

Shade the half plane below the line if the inequality is y < mx + b.

• True

• False

• Maybe

• Sometimes

• A dotted line

• A solid line

• Shade up

• Shade down

Which of the following correctly describes x - 3y > 6 when graphed?

• A dotted line is graphed, and an example of its solution is (-8, -11).

• A dotted line is graphed, and an example of its solution is (-8, 7).

• A dotted line is graphed, and an example of its solution is (0, 9).

Select the solution for the inequality

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Shade above or below?
y ≥

• Above

• Below

3. Given an inequality sign is "less than(<)". What line is going to be used and where is the shading part?

• The line that we are going to use is "broken line" and the shading part is "below" the line.

• The line that we are going to use is "solid line" and the shading part is "below" the line.

• The line that we are going to use is "broken line" and the shading part is "above" the line.

• The line that we are going to use is "solid line" and the shading part is "above" the line.

If the inequality symbol is ˂ or >, what is the graph of the inequality?

• solid line

• dashed line

• imaginary line

• curve line

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