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Suppose that $A,B$ are subsets of a vector space $V$ and that the span of $A$ is a proper subset of the span of $B$.
Which of the following are POSSIBLE?
Select ALL that apply.
$A$ is a subset of $B$.
$B$ is a subset of $A$.
$A$ is not a subset of $B$ nor is $B$ a subset of $A$. However, $A\cap B\neq \emptyset$.