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what is difference between a proper subset
and a subset?
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A proper subset of a set A is a subset of A that is not equal to A. In other words, if B is a proper subset of A, then all elements of B are in A but A contains at least one element that is not in B. ... The set C={1,3,5} is a subset of A, but it is not a proper subset of A since C=A.
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