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For any two sets A and B , the values of [(A−B)∪B]C is equal to
- a)AC∩BC
- b)A∪B
- c)A−B
- d)B−A
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
For any two sets A and B , the values of [(A−B)∪B]C is equal...
(A−B)∪B=(A∩BC)∪B
=(A∪B)∩(BC∪B)
=(A∪B)∩(U)
=A∪B
Hence,
[(A−B)∪B]C=(A∪B)C=AC∩BC
=(A∪B)∩(BC∪B)
=(A∪B)∩(U)
=A∪B
Hence,
[(A−B)∪B]C=(A∪B)C=AC∩BC
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For any two sets A and B , the values of [(A−B)∪B]C is equal toa)AC∩BCb)A∪Bc)A−Bd)B−ACorrect answer is option 'A'. Can you explain this answer?
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