# How do you solve and write the following in interval notation: x / 2 ≤ -3 AND x − 5<2?

Jan 15, 2017

$x \in \left(- \infty , - 6\right]$

#### Explanation:

$\frac{x}{2} \le - 3 \implies x \le - 6$

$x - 5 < 2 \implies x < 7$

$x \le - 6$ and $x < 7$ means that $x \le - 6$.

Therefore,

$x \in \left(- \infty , - 6\right]$