# How do you graph #x + y < 3# and #x – y < 4#?

##### 1 Answer

Find the intercepts and asymptotes, plot a few points, and then sketch the graph.

#### Explanation:

**Step 1.** Find the domain and range.

**Step 2.** Find the

Let

The

**Step 3.** Find the

There is no

**Step 4.** Find the horizontal asymptote.

As

The horizontal asymptote is at

**Step 5.** Calculate some extra points.

We have one point:

**Step 6.** Plot the axes and your three points.

**Step 7.** Complete the graph with a smooth curve through the three points.

And you have your graph.