Question

A system of linear inequalities is shown below:

x + 2y < -5
x - y > 0

Describe the steps to graph the solution set to the system of inequalities.

Answer 1

1. get the x and constants on one side and y on another for equation 1
\[x+2y<5\rightarrow 2y <-x+5\rightarrow y<(-1/2)x+(5/2)\]

Answer 2

2. Do the same for the other equation\[y<x\]

Answer 3

Now graph each function like you would for a line except dotted. The solution set is the shaded region beneath the first inequality x+2y<5 and beneath the inequality y<x.

Answer 4

That is it

Answer 5

thanks man