Question

If $A$ and $B$ are non-empty sets such that $A\supset B$, then

• A. $B^{\prime }-A^{\prime }=A-B$
• B. $B^{\prime }-A^{\prime }=B-A$
• C. $A^{\prime }-B^{\prime }=A-B$
• D. $A^{\prime }\cap B^{\prime }=B-A$
• E. $A^{\prime }\cup B^{\prime }=A^{\prime }-B^{\prime }$

Answer 1

The correct option is A $B^{\prime }-A^{\prime }=A-B$

Given that, $A\supset B$
So, by Venn diagram, we conclude that
$B^{\prime }-A^{\prime }=A-B$.