# How do you solve and write the following in interval notation: x - 2 ≤ 0 or x - 1 ≥ 3?

##### 1 Answer
Aug 16, 2017

Solution : (1) $x \le 2 \mathmr{and} \left(- \infty , 2\right]$, (2) $x \ge 4 \mathmr{and} \left[4 , \infty\right)$

#### Explanation:

$x - 2 \le 0 \mathmr{and} x \le 2$ , In interval notation $x$ is expressed as

$\left(- \infty , 2\right]$, means $x$ is any quantity from $- \infty$ to $2$(inclusive).

$x - 1 \ge 3 \mathmr{and} x \ge 4$ , In interval notation $x$ is expressed as

$\left[4 , \infty\right)$, means $x$ is any quantity from $4$(inclusive) to $\infty$.

Solution : (1) $x \le 2 \mathmr{and} \left(- \infty , 2\right]$, (2) $x \ge 4 \mathmr{and} \left[4 , \infty\right)$ [Ans]