# How do you solve 3/(x-4)<=-1?

Jan 5, 2017

#### Answer:

$x \le 1$

#### Explanation:

Multiply both sides by $- 1$, this will reverse the inequality sign

$- \frac{3}{x - 4} \ge 1$

Multiply both sides by $x - 4$

$- 3 \ge x - 4$

Add $4$ on both sides

$- 3 + 4 \ge x$

Therefore

$x \le 1$