Identify the correct Venn Diagram for A intersection B union

Identify the correct Venn Diagram for A intersection (B union C).

Solution

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Given expression is A ( B U C )

Now B U C means the complete region bounded by B & C

i.e. cumulative complete set of B and set C. Let it be denoted by BC

Further to add A (B U C) means all the sets which are common to BC.

i.e. all the set elements which are contained in the common portion of set A and set BC (i.e. eith B or C or both)

Based on above explanation only option B has shaded portion which is common to Bc and set A.

Hence correct option is b)

Hence Solved.