# How do you graph the system of linear inequalities #y> -3x# and #x<=5y#?

##### 1 Answer

Please see the explanation.

#### Explanation:

**Given:**

Let **Inequality.1**

Let **Inequality.2**

Consider:

Switching sides, we get

We will divide both sides by 5:

Simplify:

**Inequality.3**

We will consider:

**Inequality.1** and

**Inequality.3**

for **graphing.**

Please refer to the image of the graph of the inequality

Please refer to the image of the graph of the inequality

The **Solution to the system of inequalities** will be the area where the **Shaded area** from each inequality overlap one

another.

Please refer to the graph below to view the solutions:

Notice that we have a dashed line to show that it does not include values for