Question

which values are solutions to the inequality below x2<100
6
10
12
-5
-10
-14

Answer 1

$x^2 \ \textless \ 100\iff\sqrt{x^2} \ \textless \ \sqrt{100}\\\\|x| \ \textless \ 10\iff \boxed{x \ \textless \ 10\ \wedge\ x \ \textgreater \ -10}\\\\x\in(-10;\ 10)$