Question

If A and B are two sets,then A ∩ (A∩ B) equal,A is subset of B. *​

Answer 1

Answer:

A is the answer

Step-by-step explanation:

Given that,

A & B are two sets

A is subset of B ⇒ A⊂B

Given, A∩(A∩B)

consider,

A∩B = A              

(∵ as A is the subset of B all elements present in A are also present in B but all elements present in B are not present in A. So, as  intersection means common elements in both the sets. Here, A∩B = A )

now, consider

A ∩ (A ∩ B)

⇒A ∩ (A)

⇒A ∩ A

⇒A

∴If A & B are two sets & A is a subset of B then, A∩(A∩B) = A

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