Question

Let U= {4, 8, 12, 16, 20, 24, 28} A= { 8, 16, 24} and B= { 4, 16, 20, 28}.
Find $(A\cup B{)}^{\prime }$ and $(A\cap B{)}^{\prime }$

Answer 1

$(A\cup B{)}^{\prime }=U$ \ $(A\cup B)$

$A\cup B=${$8,16,24,4,20,28$}

$\Rightarrow U$ \ $(A\cup B)=${$12$}

$\therefore (A\cup B{)}^{\prime }=${$12$}

Now $A\cap B=${$16$}

$\Rightarrow U$ \ $(A\cap B)=${$4,8,12,20,24,28$}

$\therefore (A\cap B{)}^{\prime }=${$4,8,12,20,24,28$}