What is a proper 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`. For example, if `A =\{1,3,5\}` then `B=\{1,5\}` is a proper subset of `A`.
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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`. For example, if `A =\{1,3,5\}` then `B=\{1,5\}` is a proper subset of `A`.
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