Graphing Systems of Inequalities Worksheets

How to Graph Systems of Inequalities First, graph the "equals" line, then shade in the correct area. There are three steps: Rearrange the equation so "y" is on the left and everything else on the right. Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>) Shade above the line for a "greater than" (y> or y≥) or below the line for a "less than" (y< or y≤). Let us try some examples: Example: y≤2x-1 The inequality already has "y" on the left and everything else on the right, so no need to rearrange Plot y=2x-1 (as a solid line because y≤ includes equal to) Shade the area below (because y is less than or equal to)

Fun Fact

Stephen Hawkings is an amazing math pioneer! His work includes devising a new mathematical technique to study the area of cosmology and has proven that black holes emit radiation!