Examples, solutions, videos, worksheets, and activities to help Algebra 1 students learn how to graph inequalities in two variables.
Graphing Inequalities with Two Variables
Just like equations, sometimes we have two variables in an inequality. Graphing inequalities with two variables involves shading a region above or below the line to indicate all the possible solutions to the inequality. When graphing inequalities with two variables, we use some of the same techniques used when graphing lines to find the border of our shaded region.
The following diagram shows some examples of graphing inequalities. Scroll down the page for more examples and solutions.
How to graph linear inequalities in two variables from Slope-Intercept and Standard forms?
How to use a test point to determine which region to shade?
Graph the region of the plane that satisfies:
Graphing Linear Inequalities Part 1
Basic graphing of linear inequalities in two variables.
3x + 2y ≤ 12
Graphing Linear Inequalities Part 2
Graphing a system of linear inequalities in two variables.
x + 2y ≤ 6
4x - y ≥ 8
Linear Inequalities in Two Variables
This video involves linear inequalities in two variables. Topics include: graphing the solution, determining if a line should be solid or dashed, determining which half-plane to shade.
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