Question

Let $A$ and $B$ be subsets of a set $U$. Identify the given statement is right or wrong:
$(A/B{)}^{\prime }=A^{\prime }/B^{\prime }$

Answer 1

• $A$ and $B$ Subset of set $U$.

$(A/B{)}^{\prime }=(A-B{)}^{\prime }$

$=U-(A-B)$

$=U-A+B$

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

$=U-A+B$

So,$(A/B{)}^{\prime }=A^{\prime }/B^{\prime }$