# How do you graph #y<x-1 # and #y<=2x+1#?

##### 1 Answer

Aug 3, 2015

Plot each graph separately and then shade the area that satisfies both inequalities.

#### Explanation:

Your equations are

**Step 1.** Plot

Use a solid line because your condition is "less than", not “less than or equal to".

**Step 2.** Plot

Use a dashed line because your condition is "less than or equal to".

**Step 3.** Shade the area that satisfies both conditions.

Shade the area that is below

**Check** Test a point in the coloured region.

Try (

∴ TRUE

∴ TRUE

The point (