Question

Determinati multimea A= { x ∈ z | |2+x|=5 }

Answer 1

$|2+x|=5 \\\\ \#1 \\\\ 2+x=5 \\\\ x=5-2 \\\\ \boxed{x=3\in Z} \\\\ \#2 \\\\ 2+x=-5 \\\\ x=-5-2 \\\\ \boxed{x=-7\in Z} \\\\\\ \boxed{\boxed{A\in \{-7;3\}}}$

Answer 2

2+x=5
2+x=-5

x=3
x= - 7
A∈{-7,3}