Question

if A intersection to B= A in tersection C then it is true that B is equal to C​

Answer 1

Step-by-step explanation:

Let x∈C

Suppose x∈A⇒x∈A∩C

⇒x∈A∩B(∵A∩C=A∩B)

Thus x∈B

Again suppose x∈

/

A⇒x∈C∪A

⇒x∈B∪A⇒x∈B

Hence C⊆B .......(1)

Similarly we can show that B⊆C .....(2)

Commbining (1) and (2) we get B=C

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