Answer :
[tex]\begin{gathered} U=\mleft\lbrace1,2,3,4,5,6,7\mright\rbrace \\ L=\mleft\lbrace1,3,5,7\mright\rbrace \\ M=\mleft\lbrace1,2,3\mright\rbrace \\ N=\mleft\lbrace2,3,4,5,6\mright\rbrace \\ L^{\prime}=\mleft\lbrace2,4,6\mright\rbrace \\ N^{\prime}=\mleft\lbrace1,7\mright\rbrace \\ (M\cap L^{\prime})=\mleft\lbrace2\mright\rbrace \\ (M\cap L^{\prime})^{\prime}=\mleft\lbrace1,3,4,5,6,7\mright\rbrace \\ (M\cap L^{\prime})^{\prime}\cup N^{\prime}=\mleft\lbrace1,3,4,5,6,7\mright\rbrace \end{gathered}[/tex]