下列不等式组中，解集是2＜x＜3的不等式组是(  　)

A：$\left\{\begin{array}{c}x>3\\ x>2\end{array}\right.$

B：$\left\{\begin{array}{c}x>3\\ x<2\end{array}\right.$

C：$\left\{\begin{array}{c}x<3\\ x>2\end{array}\right.$

D：$\left\{\begin{array}{c}x<3\\ x<2\end{array}\right.$