Answer
$x \leq -\sqrt{5}~~~~~$ or $~~~~~ x \geq \sqrt{5}$
The solution set is $~~(-\infty,-\sqrt{5}] \cup [\sqrt{5}, \infty)$
![](https://gradesaver.s3.amazonaws.com/uploads/solution/0c3a9f36-2a4a-4456-b46d-2dc2f7d908e1/result_image/1553136112.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20250125%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20250125T171700Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=7edf14ae1d7b65218aeaad4445bed709e1b2c0ce290de312c9a27f3063560bb2)
Work Step by Step
$x^2 \geq 5$
$\vert x \vert \geq \sqrt{5}$
$x \leq -\sqrt{5}~~~~~$ or $~~~~~ x \geq \sqrt{5}$
The solution set is $~~(-\infty,-\sqrt{5}] \cup [\sqrt{5}, \infty)$
![](https://gradesaver.s3.amazonaws.com/uploads/solution/0c3a9f36-2a4a-4456-b46d-2dc2f7d908e1/steps_image/small_1553136112.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20250125%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20250125T171700Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=65a24f1fb985bbca1d48cf8175556206c4dcd6fb50ce989d0b6588d288e9d8f6)