- #1

tylerc1991

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## Homework Statement

Suppose [itex]U[/itex] and [itex]W[/itex] are subspaces of [itex]V[/itex], and [itex]U \, \bigcup \, W[/itex] is a subspace of V. Show that [itex]U \subseteq W[/itex].

## The Attempt at a Solution

I have been working on this one for a bit and have not made any headway. I wish I could post anything, even a start to this one but I can't seem to see which direction to head in. If anyone could give me some direction I would be grateful!