A system of linear inequalities is shown below:
x + y ≥ 4
y < 2x - 3
Describe the steps to graph the solution set to the system of inequalities
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This is how you graph an inequality:
1. Change the inequality into an equation by replacing the inequality symbol with an equal sign.
2. Graph the equation using a solid line if the inequality had ≥ or ≤ or using a dashed line if the inequality had a > or a <.
3. The solid or dashed line separates the plane into two half-planes. Pick a point in one of the half-planes and test it in the original inequality.
4. If the point works, then shade the half-plane the point is in. If the point does not work, then shade the other half-plane.
To graph a system of inequalities, use the method above for each of the inequalities.
The solution is the overlap of the shading of the two inequalities.