Answer
$(-5,5)$
Work Step by Step
The solutions of $|u| \lt c $ are the numbers that satisfy $-c \lt u \lt c.$
The idea is to isolate $x$ in the middle.
Adding, subtracting or multiplying/dividing with a positive number preserves order (the inequality symbols remain).
Multiplying/dividing with a negative number inverts the order (the inequality symbols changes).
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$|x| \lt 5$
is equivalent to:
$-5 \lt x \lt 5$
Both borders are excluded.
The solution set is $(-5,5)$ .
