For any two sets A and B, (A − B) ∪ (B − A) =
(a) \((A-B)\cup A\)
(b) \((B-A)\cup B\)
(c) \((A\cup B)-(A\cap B)\)
(d) \((A\cup B)\cap(A\cap B)\)
Solution
By definition,
\[ (A-B)\cup(B-A)=A\Delta B \]
Also,
\[ A\Delta B=(A\cup B)-(A\cap B) \]
Therefore,
\[ (A-B)\cup(B-A)=(A\cup B)-(A\cap B) \]
Answer
\[ \boxed{(A\cup B)-(A\cap B)} \]
Correct option: (c)