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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.