# How do you solve and write the following in interval notation: #x< 5# AND #x< 3#?

##### 1 Answer

#### Answer:

#### Explanation:

As can be seen in the diagram:

only the values to the left of

**AND**

In **interval notation**

**not** included in the set (but everything up to that value) is;

**is** included in the set (as well as everything up to that value.

Note that the "infinite" values, **not included** (always written with round brackets).

Some examples:

For the given case

**AND**) then only the

so we would write the interval as: