Question

|x-2|<3 <=> 3>x-2>-3 <=> 5>x>-1
Is that correct ?

Answer 1

yes although we usually put the smaller number on the left and bigger on the right. but your answer is correct

Answer 2

\[-3<x-2<3\]
\[-1<x<5\]
they say the same thing

Answer 3

Thanks.