Multiple Choice Questions on If E is the universal set and A B cup C then the set E minus E minus E minus E minus E minus A is sa........... for NDA Exam Preparation

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Multiple Choice Questions

If E is the universal set and A B cup C then the set E minus E minus E minus E minus E minus A is sa...........

Mathematics (NDA) Set theory
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    If E is the universal set and A = B ∪ C, then the set E − (E − (E − (E − (E −A))))is same as the set -

    B′ ∪ C′

    Incorrect Answer

    B ∪ C

    Incorrect Answer

    . B ′ ∩ C ′ 

    Correct Answer

    B ∩ C

    Incorrect Answer
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    Explanation:

    E is the universal set and A = B U C
    E - (E – (E – (E – (E – A))))
    = E – (E – (E – (E – A’)))
    = E – (E – (E – A))
    = E – (E – A’)
    = E – A
    = A’ = (B U C)’ = B’  n  C’

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