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Intersection operation on two sets

The intersection of two sets A & B is defined as a set that contains only those members which are common to both A and B.

The intersection operation is denoted by the symbol .

Remember, for two disjoint sets (sets having no common elements), the intersection results in an empty set (∅).

Example ⇒
If A = { 1, 2, 3, 4 } and B = { 1, 4, 5, 6 }
Then A ∩ B = { 1, 4}

Similarly, if A = { 1, 1, 1, 2, 3 } and B = { 1, 1, 2, 2, 4 }
Then A ∩ B = { 1, 2 }

Similarly, if A = { dog, cat, cow } and B = { peacock, bull }
Then A ∩ B = ∅ (null set as there are no common animals between A and B)

Venn Diagram representation of the intersection operation on two sets
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