Ononot — Let A, B, and C be sets. Consider the following two statemen

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Set Theorymedium

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Let $A$ , $B$ , and $C$ be sets. Consider the following two statements:

If $A \cup C = B \cup C$ , then $A = B$ .

If $A \cap C = B \cap C$ , then $A = B$ . Which of these statements must always be true?