对于不等式组 $\left\{\begin{array}{c}\frac{\mathit{1}}{\mathit{2}}\mathit{x}\mathit{-}\mathit{1}\mathit{⩽}\mathit{7}\mathit{-}\frac{\mathit{3}}{\mathit{2}}\mathit{x}\\ \mathit{5}\mathit{x}\mathit{+}\mathit{2}\mathit{>}\mathit{3}\mathit{(}\mathit{x}\mathit{-}\mathit{1}\mathit{)}\end{array}\right.$，下列说法正确的是 $\mathit{(}$　　 $\mathit{)}$

A．此不等式组无解

B．此不等式组有7个整数解

C．此不等式组的负整数解是 $\mathit{-}\mathit{3}$， $\mathit{-}\mathit{2}$， $\mathit{-}\mathit{1}$

D．此不等式组的解集是 $\mathit{-}\frac{\mathit{5}}{\mathit{2}}\mathit{<}\mathit{x}\mathit{⩽}\mathit{2}$