1.

If A and B are two sets satisfying A-B = B-A, then which one of the following is correct? (a) `A=phi` (b) `A nnB=phi` (d) None of these (c) A=B

Answer» Case- 1 : When `A = phi and B = phi`
Then, `A-B = B - A = phi`
So, option `(a)` is correct only when both `A` and `B` are `phi`.
Case - 2 : When `Ann B = phi`
In this case, there is no common elements in set `A` and set `B`.
`:. A- B = A and B - A = B`
So, option `(b)` is not correct.
Case - 3: When `A = B`,
In this case, both sets are equal.
`:. A - B = B- A = phi`
So, option `C` is also correct.


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