if A is a proper subset of B and B is a proper subset of C then prove that A is a proper subset C
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ANSWER C
Step-by-step explanation:
If A is a subset of B, it is still possible for the set A to be the same as the set B, so it is quite possible that all three sets in this question (A, B, and C) are identical — in which case, none of them are “bigger” than the others.
However, if A is a “proper subset” of B then A is “smaller” than B (because A will contain some elements that are not elements of B).
if we re-word the question, inserting “proper” in front of the word “subset”, then the question would read: “If set A is a proper subset of B and B is a proper subset of C, then which is the bigger set?” and the answer is “C”.
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