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Question

If A={1,2,3}, B={3,4} and C={4,5,6}, then A(BC) is equal to


A

{1,2,}

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B

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C

{4,5}

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D

{1,2,3,4}

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Solution

The correct option is D

{1,2,3,4}


Step1. Finding intersection of the set.

A={1,2,3}

B={3,4}

C={4,5,6}

BC={3,4}{4,5,6}={4}

Step2. Finding union of set.

Now,

A(BC)={1,2,3,}{4}={1,2,3,4}

Hence, correct option is (D)


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