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# why is it that a intersection b is a subset of a?

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- Alone GuyLv 79 years agoFavorite Answer
First of all you are in the wrong category, this isn't mathematics.

A∩B⊂A ∧ A∩B⊂B

Take for example, A = {1,2,3,4} and B = {2,3,4,5}

A∩B is {2,3,4}.

Since A∩B is in A and A∩B is in B, therefore A∩B is a subset of A.

Similarly you can also say that A∩B is a subset of B.

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