Answer :

We know that the intersection of sets A and B is the set of all elements which are common to A and B.

We know that ϕ is a Null set which has no elements.

Given A = {0, 2, 4}

⇒ A ⋂ ϕ = {0, 2, 4} ⋂ ϕ = ϕ

⇒ A ⋂ A = {0, 2, 4} ⋂ {0, 2, 4} = {0, 2, 4} = A

Ans. A ⋂ ϕ = ϕ

A ⋂ A = A

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