$\begin{array}{l}
A = \left( {1;\,\,2} \right],\,\,B = \left( {2;\,\,3} \right]\\
\Rightarrow A \cap B = \emptyset \\
A \cup B = \left( {1;\,\,3} \right].\\
A\backslash B = \left( {1;\,\,2} \right]\\
B\backslash A = \left( {2;\,\,3} \right].
\end{array}$