$($a$)$ Let A and $B$ be the sets $\{2,3,4,5,6,7\}$ and $\{2,3,5,7,11\}$ respectively. Find $(i)(Ao+B)o+B$ and $(ii)(Ao+B)o+A.\%$

$(3$ marks$)$

$($b$)$ Suppose that the universal set is $U=\{1,2,3,4,5,6,7,8,9,10\}.$ Two sets A and $B$ are specified by the strings $1111001101$ and $0101111100$ respectively. Verify the De Morgan Laws: $\frac{i}{b}ar((AB))\frac{?}{b}=ar(A)\frac{}{b}ar(B)\frac{ii}{b}ar((AB))=\frac{?}{\text{b}\text{a}\text{r}}(A)\frac{}{b}ar(B)$

$\%$

$(3$ marks$)$