M8A4: c.Graph the solution set of a system of linear inequalities in two variables

A "system" of linear inequalities is a set of linear inequalities that you deal with all at once. Usually you start off with two or three linear inequalities. The technique for solving these systems is fairly simple.

Example #1

Solve the following system:

2x – 3y < 12 x + 5y < 20 x > 0 Just as with solving single linear inequalities, it is usually best to solve as many of the inequalities as possible for "y" on one side. Solving the first two inequalities, I get the rearranged system:       Example #2

The line for the first inequality in the above system,  y > ( 2/3 )x – 4, looks like this:

y > ( ²/₃ )x – 4 y < ( – ¹/₅ )x + 4 x > 0  Elizabeth