# How do you solve and write the following in interval notation: 1/4x-2≤-1?

Jun 22, 2016

$x \le 4.$
In the interval notation, this is $\left(- \infty , 4\right] .$

#### Explanation:

Given that, $\frac{1}{4} x - 2 \le - 1$

Adding 2, we get, $\frac{1}{4} x \le 2 - 1 = 1 ,$ i,e., $\frac{1}{4} x \le 1.$

We now multiply by $4$. As $4$ is $+ v e$, we note that this will have no effect on the order of inequality. Hence, $x \le 4.$

In the interval notation, this is written as $\left(- \infty , 4\right] .$