# How do you solve and write the following in interval notation: x ≥ 5 and x<1?

Jul 20, 2018

no solution

#### Explanation:

Given: $x \ge 5 \text{ and } x < 1$

The word "and" means intersection.

There is no intersection between $x \ge 5$ and $x < 1$.

interval notation for $x \ge 5 : \text{ } \left[5 , \infty\right)$

The bracket means $5$ is included.

interval notation for $x < 1 : \text{ } \left(- \infty , 1\right)$

The parenthesis after the $1$ means $1$ is not included.