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≤2x1 The inequality already has "y" on the left and everything else on the right, so no need to rearrange Plot y=2x1 (as a solid line because y≤ includes equal to) Shade the area below (because y is less than or equal to)

Basic Lesson
Demonstrates how to solve systems of inequalities graphically. Practice problems are provided. Draw three points (x , y) on the graph. If the point makes the inequality true, shade that side of the line. If the point does not make the inequality true, shade the opposite side of the line.
View worksheet 
Intermediate Lesson
Explores how to solve complex systems of inequalities graphically. Decide if a dotted line should appear. Practice problems are provided.
View worksheet 
Independent Practice 1
Solve the following systems of inequalities graphically. The answers can be found below.
View worksheet 
Independent Practice 2
Features another 20 Graphing Systems of Inequalities problems.
View worksheet 
Homework Worksheet
12 Graphing Systems of Inequalities problems for students to work on at home. Example problems are provided and explained.
View worksheet 
Topic Quiz
10 Graphing Systems of Inequalities problems. A math scoring matrix is included.
View worksheet
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!