Graphing Linear Inequalities and Tables

Match the system to the graph (solution set is on the left)

• y ≤ 3x   and  y ≤ -2x + 4

• y > 3x   and  y > -2x + 4

• y < 3x   and  y > -2x + 3

• y > 3x   and  y < -2x + 4

Which of the following is not a solution to this system of inequalities?

• (0,-1)

• (0,3)

• (4,0)

• (6,-2)

Which inequality describes this graph...

• y < 3x - 2

• y > 3x + 2

• y < 3x + 2

• y > 3x -2

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.

Choose the correct inequality for this graph.

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Where would you find a solution for

y < -x + 4

• In the shaded region above the line.

• In the shaded region below the line.

• On the line.

• On the origin.

• A dotted line

• A solid line

• Shade up

• Shade down

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

Which graph best represents the following inequality?

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