QuestionFind the set $S=\{x:|x^{2}-6|>7\}$ as a union of intervals.

Studdy Solution
The solution to the inequality $|x^{2}-6|>7$ is the union of the intervals $(-\infty, -\sqrt{13})$ and $(\sqrt{13}, \infty)$.
Therefore, the set $=\left\{x:\left|x^{2}-6\right|>7\right\}$ can be described as the union of the intervals $(-\infty, -\sqrt{13})$ and $(\sqrt{13}, \infty)$.