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b) If $U=\{1,2,3, \ldots$, (ii) $A \cup \bar{A}$$\newline$(i) $\bar{A}$$\newline$Creative section$\newline$(ii) $\mathrm{A}-(\mathrm{A} \cap \mathrm{B})=(\mathrm{A} \cup \mathrm{B})-\mathrm{B}$ verify that:$\newline$(i) $A \cup(A \cap B)=A \cap(A \cup B)$$\newline$(iv) $(A \cup B)-(A \cap B)=(A-B) \cup(B-A)$$\newline$(iii) $A \cup(B-A)=B \cup(A-B)$$\newline$b) If $U=\{0,1,2, \ldots, 10\}, A=\{2,3,5,7\}$ and $B=\{1,3,5,7,9\}$, verify the followis operations.$\newline$(i) $\overline{A \cup B}=\bar{A} \cap \bar{B}$$\newline$(ii) $A \cup \bar{A}$$0$$\newline$c) If a universal set $A \cup \bar{A}$$1$ amp $A \cup \bar{A}$$2$, prove that.$\newline$(i) $A \cup \bar{A}$$3$$\newline$(ii) $A \cup \bar{A}$$4$