Creating Inequalities Using Two Variables

Match the inequality to the graph.

Match the inequality to the graph.

Match the inequality to the graph.

Match the inequality to the graph.

Diagram 2 shows two straight lines on a Cartesian plane. Which of the following regions define linear inequalities

y ≤ x + 5 and y ≥ 2 − x?

• I

• II

• III

• IV

Which inequality matches the picture shown?

• y < -1/2 x + 5

• y < -1/2 x + 5

• y > -1/2 x + 5

• y > -1/2 x + 5

Which point below is NOT part of the solution set?

• (0, 0)

• (-10, -10)

• (-1, 5)

• (5, 20)

Consider the function y < 2x + 3, which of the following 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.

Choose the correct inequality for this graph.

Choose the correct inequality for this graph.