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If (A - B) ∪ (B - A) = A for subsets A and B of the universal set U, then which one of the following is correct?
  • a)
    B is a proper non -empty subset of A
  • b)
    A and B are non-empty disjoint sets
  • c)
    B = φ
  • d)
    None of the above
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If (A - B) ∪ (B - A) = A for subsets A and B of the universal set ...
Here,

or A = φ
Here, B = φ satisfy the given condition (i)
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Most Upvoted Answer
If (A - B) ∪ (B - A) = A for subsets A and B of the universal set ...
If (A - B), it means that we are subtracting B from A.
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If (A - B) ∪ (B - A) = A for subsets A and B of the universal set U, then which one of the following is correct?a)B is a proper non -empty subset of Ab)A and B are non-empty disjoint setsc)B = φd)None of the aboveCorrect answer is option 'C'. Can you explain this answer?
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