# How do you graph the system #y < x - 5# and #y ≤ 3#?

##### 1 Answer

Please read the explanation.

#### Explanation:

We have the inequality:

**How do we graph this inequality ?**

Note that, **intersection** condition.

Hence, the region that is **common** for **both sets of inequalities** will indicate the **required solution.**

We can create a **data table** for both these **inequalities separately** as shown below:

The values in the common **indicating the final solution.**

**Dotted line** indicates value **not included in the solution**.

**Solid line** indicates **the value being part of the solution**.

This is our **final solution graph**, as it accommodates the restriction used in the given inequity.

**Some of the points from the table (shaded values)** are indicated in the **solution graph** below, for a **better comprehension:**

This final graph indicates the **common region** between Graph.1 and Graph.2.

In **Set Theory**, we use the term **intersection** to refer to the **common values between two sets of values.**

Hope this explanation helps.