Copy the table below into your notes. Use the inequality grapher to complete the table below. Click on the graph to access the applet. For directions on how to use the applet, click on the directions tab in the top left corner of the applet.

After completing the table, use the information contained in the table to answer the questions that follow.

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Check Your Answer

Point A	Point B	Inequality	Dashed or Solid Line?	Shading Above or Below?
(-8, 7)	(0, 5)	y ≥ -0.25x + 5	Solid	Above
(-8, 7)	(0, 5)	y > -0.25x + 5	Dashed	Above
(−8, 7)	(0, 5)	y < -0.25x + 5	Dashed	Below
(-5, 7)	(0, 2)	y ≤ -x + 2	Solid	Below
(-5, 7)	(0, 2)	y > -x + 2	Dashed	Above
(-5, 7)	(0, 2)	y < -x + 2	Dashed	Below

What relationship do you see between the direction of the inequality symbol (less than or greater than) and the location of the shaded region (above or below)?

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Check Your Answer

For inequalities in slope-intercept form, if the inequality includes less than (< or ≤), the shaded region is below the line. If the inequality includes greater than (> or ≥), the shaded region is above the line.

What relationship do you see between the inequality symbol and the type of line (dashed or solid)?

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If the inequality includes "or equal to," indicated with a horizontal line beneath the < or > symbol, then the line is solid. If the inequality does not include "or equal to," then the line is dashed.