If A = {2, 3, 4, 6, 8}, B = {3, 4, 5, 10 }, C = {4, 5, 6, 8, 10} find (A∩B)∪(A∩C).

  1. {3, 4}
  2. {6, 8}
  3. {3, 4, 6, 8}
  4. None of these

Answer (Detailed Solution Below)

Option 3 : {3, 4, 6, 8}
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Detailed Solution

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Concept -

In set theory, the intersection and union are basic operations.

Union of two sets is defined as a set that contains all the values that occur in both sets without repetition.

The intersection of two sets is defined as a set that contains the values which are common to both sets.

Explanation -

A∩B = {3, 4}, A∩C = {4, 6, 8}

(A∩B)∪(A∩C) = {3, 4}∪{4, 6, 8}

= {3, 4, 6, 8}

Hence option(iii) is correct.

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