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Solving a System of Linear Inequalities

Here is another set of examples to show you how to solve a system of linear inequalities.

The rules on graphing inequalities here are the same as the previous video.

In this example, we have the two equations,  y \geq 2x - 1 and  y \leq -3x + 1 .
Both of these equations have a line under their symbols, which means that both equations include the lines. The lines are both solid.
For the first equation,  y \geq 2x - 1 , the symbol  \geq (greater than or equal) means that the area above the line will be shaded. As for the second equation,  y \leq -3x + 1 , the symbol  \leq (less than or equal) means that the area below the line will be shaded.
This creates an area where the areas of the two equations overlap. This area is the solution of the equations.