Question

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

Answer 1

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.

Answer 2

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.

Answer 3

ill try it

Answer 4

Great.
I have to go.
If you have questions, ask them, and I'll answer when I get back online.

Answer 5

okay i have one more ill go ahead and post it now then

Answer 6

ok bye