Solve the given inequality below in the body.

Anyway, in your case, $y\ge 0$, so you should transform all this to $$|x|<3\;\textit{ or }\; |x|\ge 5\iff -3<x<3\;\textit{ or }\; x\ge 5\;\textit{ or }\; x\le -5$$ or, as a set, the union of three intervals: $$(-\infty,-5]\cup(-3,3)\cup[5,+\infty). $$


The equivalences $$\lvert A\rvert< B\iff\begin{cases}B\ge 0\\ A> -B\\ A< B\end{cases}\\ \lvert A\rvert\ge B\iff B\le 0\lor \begin{cases}B> 0\\ A\le -B\end{cases}\lor\begin{cases}B>0\\ A\ge B\end{cases}$$

are a good place to start from.

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Inequality

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