Graphing Systems of Inequalities
Examples, solutions, videos, worksheets, games and activities to help Algebra students learn how to graph systems of linear inequalities.
The following diagrams show how to graph a system of linear inequalities. Scroll down the page for more examples and solutions on graphing systems of linear inequalities.
System of Linear Inequalities
Steps to graphing the solution to a System of Linear Inequalities
- Graph and shade the solution to the first linear inequality.
- Graph and shade the solution to the second linear inequality.
- The region that is double shaded is the solution to the system.
Examples:
Graph the solution - x > -4, y ≤ 2
- y < -x + 2, y ≥ 3x - 4
- x - 2y ≤ 4, x - 2y > 4
Graphing Systems of Linear Inequalities
Example:
y ≥ 2x + 1
y < -x + 4
Graphing Systems of Linear Inequalities
Example:
2x + 4y < 6
x - y > 2
x ≥ 0
y ≥ 0
Graphical System of Inequalities
Example:
Graph the solution set for the system
y > x - 8
y < 5 - x
Solving Two Inequalities Graphically
This video demonstrates how to solve a system of inequalities graphically.
Example:
y ≥ x
y ≤ -x + 6
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