# How do you graph #y ≤ 3x + 5#?

##### 1 Answer

graph{y<=3x+5 [-18.85, 17.2, -5.48, 12.54]}

Note that the area under the function is shaded.

#### Explanation:

We need to take a moment and not think of functions and x-y relations as just the relationship between x and y. Instead, think of it as a collection of points that satisfy a condition.

For example, let us suppose the line

It can also be interpreted as a **collection of all points whose #y# is equal to its #x#**

In mathematics, we call this a

**set**.

So, we can say that this is a

*set*of all points who satisfy y=x, and we write it like this:

This is a very helpful intuition to have later on, for example with the *circle equation*:

graph{x^2+y^2=1 [-2.43, 2.435, -1.215, 1.217]}

Instead of thinking of this as a function

Back to your inequality, think of it as a set of all points who satisfy

Start by drawing