اگر $A\bigcap B=\left\{ \left. x \right|x\in \mathbb{Z},-1 \lt x \lt 5 \right\}$ و $A\bigcap C=\left\{ \left. x \right|x\in \mathbb{Z},-3 \lt x \lt 3 \right\}$ باشند، حاصل عبارت $A\bigcap \left( B\bigcup C \right)$ کدام است؟
1 )
$\left\{ \left. x \right|x\in \mathbb{Z},-1 \lt x \lt 3 \right\}$
2 )
$\left\{ \left. x \right|x\in \mathbb{Z},-1 \lt x \lt 5 \right\}$
$\left\{ \left. x \right|x\in \mathbb{Z},-3 \lt x \lt 5 \right\}$
4 )
$\left\{ \left. x \right|x\in \mathbb{Z},x \lt -3,x \gt 5 \right\}$