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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 |
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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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