Let $L_1,L_2$ and $L_3$ be languages over some alphabet $.$ In each part below, state the relationship

between the given two languages. Are they equal, is one a subset of the other, do they have

an empty or non$-$empty intersection? Give reasons $($proof$!)$ for your answers, and counter$-$

examples where needed.

$($b$)$

$($c$)$

$($d$)L_1^{***}(L_2{L}_1^{***}{)}^{***}$versus$(L_1^{***}{L}_2{)}^{***}{L}_1^{***}.$plwase answer D properly show and explain