# 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)

• ### 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.

• ### Intermediate Lesson

Explores how to solve complex systems of inequalities graphically. Decide if a dotted line should appear. Practice problems are provided.

• ### Independent Practice 1

Solve the following systems of inequalities graphically. The answers can be found below.

• ### Independent Practice 2

Features another 20 Graphing Systems of Inequalities problems.

• ### Homework Worksheet

12 Graphing Systems of Inequalities problems for students to work on at home. Example problems are provided and explained.

• ### Topic Quiz

10 Graphing Systems of Inequalities problems. A math scoring matrix is included.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.

• ### Lesson and Practice Answer Key

Answers for both lessons and both practice sheets.

#### 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!