For any two sets A and B, prove that A ⊂ B ⇒ A ∩ B = A

Asked by Aaryan | 1 year ago |  51

1 Answer

Solution :-

A ⊂ B ⇒ A ∩ B = A

Let us consider an element ‘p’ such that it belongs to A ⊂ B.

p ∈ A ⊂ B

Then, x ∈ B

Let and p ∈ A ∩ B

x ∈ A and x ∈ B

x ∈ A and x ∈ A (since, A ⊂ B)

(A ∩ B) = A

Answered by Sakshi | 1 year ago

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