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Linear Inequalities

This guide outlines the essential steps for graphing a linear inequality effectively. Begin by ensuring the inequality is in slope-intercept form, replacing the equal sign with an inequality symbol. Next, plot the y-intercept and graph additional points using the slope. Draw the line through the plotted points, using a solid line for "greater than or equal to" and a dashed line for "greater than" or "less than." Finally, select points on either side of the line to check which side satisfies the inequality, shading the correct region.

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Linear Inequalities

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  1. Linear Inequalities

  2. Steps to Graphing a Linear Inequality • Verify the inequality is in slope-intercept form (the equal sign is replaced with an inequality symbol) • Plot the y-intercept • Graph additional points using the slope • Draw a line through the plotted points • Solid line - • Dashed line -

  3. Steps to Graphing a Linear Inequality • Select two points – one from each side of the line • Substitute the points into the originalinequality, check for truth value • Shade the region containing the point that made the inequality statement true

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