Question

If $A$ and $B$ are two sets, then
$(A-B)\cup (B-A)\cup (A\cap B)$ is equal to

• A. only $A$
• B. $A\cup B$
• C. $(A\cup B{)}^{\prime }$
• D. None of these

Answer 1

Answer: (B)

$(A-B)\cup (B-A)\cup (A\cap B)$
$=$ only $A\cup$ only $B\cup$ Both $A$ and $B=A\cup B$