Determine whether the following statements are correct.

$(5\mathrm{.}1)$ The linear system $\{=,<=0\}$ has no feasible solutions if and only if

$($a$)$ the system $<0,=0,>=0$ is feasible;

$($b$)$ the system $>0,=0,>=0$ is feasible;

$($c$)$ the system $>0,<=0,$ is feasible;

$($d$)$ the system $<0,<=0,$ is feasible