Sets Relations And Functions Question 85

Question: The set $ (A\cap B’)’\cup (B\cap C) $ is equal to

Options:

A) $ A’\cup B\cup C $

B) $ A’\cup B $

C) $ A’\cup C’ $

D) $ A’\cap B $

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Answer:

Correct Answer: B

Solution:

  • [b] $ (A\cap B’)’\cup (B\cap C)=((A’\cup (B’)’)\cup (B\cap C) $
    $ =(A’\cup B)\cup (C\cap B) $
    $ =A’\cup (B\cup (C\cap B)) $
    $ =A’\cup B $