finite dimensional vector space

Let W1 and W2 be subspaces of a finite dimensional vector space. Prove that

Let W1 and W2 be subspaces of a finite dimensional vector space. Prove that

dim(W1 ∩ W2) ≤ min{dim(W1), dim(W2)} and dim(W1 + W2) ≥ max{dim(W1), dim(W2)}.

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