# How do you solve the inequality x>=abs(x+1) and write your answer in interval notation?

##### 1 Answer
Mar 29, 2017

No feasible values for $x$

#### Explanation:

Considering $\left\mid x \right\mid$ for $x \ne 0$ we have

$\frac{x}{\left\mid x \right\mid} \ge \left\mid \frac{x + 1}{x} \right\mid$ or

$\pm 1 \ge \left\mid \frac{x + 1}{x} \right\mid$ or

$\left\mid \frac{x + 1}{x} \right\mid \le \min \left(- 1 , 1\right) = - 1$

So no solution for the inequality