Question: 4. Decide if the following statement is True or False: Let U, W, and X be subspaces of a finite dimensional vector space V such

4. Decide if the following statement is True or False: Let U, W, and X be subspaces of a finite dimensional vector space V such that Un W - {0} and Un X - {0}. If U+W - U+ X, then W - X. Indicate your final answer by filling in exactly one circle below (unfilled O filled .) and justify your choice with a proof or counter-example. [4 marks] O True O False

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