[tex]A=\left\{x \: \in \: \mathbb{Z} \: | \: - 3 < x \leqslant 5 \right\}[/tex]
[tex] - 3 < x \leqslant 5 = ( - 3,5][/tex]
[tex]x \: \in \: \mathbb{Z} = > x \: \in \: \left\{-2,-1,0,1,2,3,4,5\right\}[/tex]
[tex] = > A=\left\{-2,-1,0,1,2,3,4,5\right\}[/tex]