Graphing Linear Inequalities

Concept

Linear Inequality

A linear inequality is an inequality that represents a linear relationship involving one or more variables. Therefore, the exponent of all variables is 1. As with any other inequality, linear inequalities can be strict or non-strict.

Strict Linear Inequalities Non-Strict Linear Inequalities
-13 > -2x + 4y 7x - y ≥ 21
- 9y < 17+x 9x + 3y ≤ 6

Linear inequalities are similar to linear equations. The difference is that, while the solutions to linear equations are represented by all the points that lie on a line, the solution set to a linear inequality is represented by the points on a region containing one half of the coordinate plane.

linear inequality

Exercises
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