Mathematics

Problem

4. If

U=\{1,2,3,4,5,6,7,8,9\}, A=\{2,4,6,8\}

and

B=\{2,3,5,7\}

. Verify that (i)

(\mathrm{A} \cup \mathrm{B})^{\prime}=\mathrm{A}^{\prime} \cap \mathrm{B}^{\prime}

(ii)

(\mathrm{A} \cap \mathrm{B})^{\prime}=\mathrm{A}^{\prime} \cup \mathrm{B}^{\prime}