# How do you graph the system of linear inequalities y<x+4 and y>=-2x+1?

Aug 3, 2018

See explanation.

#### Explanation:

First treat the < or > signs like an equal sign for now. Start at the y- intercept and then use the slope to draw each of the lines.

Now that you have the line drawn look at the inequality signs that you have.

$y < x + 4$
since this one has a $<$ sign shade underneath the graph. Make sure that the line you graphed for this is dotted like the one in the picture. (be sure to ask for clarification on that if you don't understand)

$y \ge - 2 x + 1$
Since this one has a $\ge$ sign shade above the line. Make sure that the line you graphed is solid and not dotted like the previous function.

The actual answer is where each of the shaded regions touch meet.