# How do you graph the system of linear inequalities #-x<y# and #x+3y>8#?

##### 1 Answer

Graph the inequalities as if they are equations (but let the lines be dashed if the inequality is merely "less than" or "more than"), then shade accordingly.

#### Explanation:

Our first inequality is

To start, graph

I chose to draw a dashed line here because the inequality only says "**not** part of the later shaded area.

Then what would *more* than whatever the value of *above* the line:

Notice how I left the line dashed.

The second inequality is

Let's rearrange that to put it in the slope-intercept form of linear equations,

Subtract

Then divide by

Let's graph the (dashed!) line

Again, the inequality asks us to shade everything *above* the line.

The purple area is the shaded area that both inequalities share.