Subspaces

[timid vale]

Let V be a Vector Space over K, and let U and W be subspaces of V. Prove that U u W is a subset of U + W.

I understand generally what is going on but I struggle formulating this. I would appreciate a few pointers of how to go about proving this.

[opal rover]

it's a matter of unfolding definitions here, there's no pro skater tricks, if you understand the terms in what you need to prove, i.e.
what a subset is,
what a union of subspaces is,
what a sum of subspaces is,
it should go pretty easily

so is there any one of these three things you're a bit shaky about ?

(or something else maybe ?)

@timid vale

nvm, someone else is answering you already

[timid vale]

How do I close this ?

And thank You very much @opal rover

[opal rover]

.close