The equation $\mid x\mid=-2$ has no solution.
Work Step by Step
RECALL: For any real numebr $x$, $|x| \ge 0$ The rule above means that the absolute value of any real number is either 0 or a positive number. In the given statement, the absolute value of a real number $x$ is said to be equal to $-2$. This is not possible, so the equation $\mid x\mid=-2$ has no solution.