Question: How do you start to Write a Proof of the following Statement: Let V be a real vector space. Let U be a subset of

How do you start to Write a Proof of the following Statement:

Let V be a real vector space. Let U be a subset of V. Prove that U is a subspace of V ifandonlyif U is nonempty and for all u,v in U and kR, u+kvU.

Do I start with:

Suppose V is a real vector space and U is a subset of V

Then? Have to use the definition of subset to come up with a statement showing U is a subspace of V?

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