# How do you solve and write the following in interval notation:  x <2 AND x ≥ 1?

Jan 15, 2017

$x \in \left[1 , 2\right)$

#### Explanation:

Combining the expressions we get:

$1 \le x < 2$, or

$x \in \left[1 , 2\right)$.

$x$ is allowed to take the value of $1$, therefore, we use a left closed interval "[".

However, $x$ cannot be exactly $2$, so we use an open right interval ")".