The following is a proof that for all sets A, B, and C, if A B and B C, then A C. Fill
Chapter 6, Problem 3(choose chapter or problem)
The following is a proof that for all sets A, B, and C, if \(A \subseteq B\) and \(B \subseteq C\), then \(A \subseteq C\). Fill in the blanks.
Proof: Suppose A, B, and C are sets and \(A \subseteq B\) and \(B \subseteq C\). To show that \(A \subseteq C\), we must show that every element in (a) is in (b) . But given any element in A, that element is in (c) (because \(A \subseteq B\)), and so that element is also in (d) (because (e) ). Hence \(A \subseteq C\).
Text Transcription:
A subseteq B
B subseteq C
A subseteq C
A subseteq B
B subseteq C
A subseteq C
A subseteq B
A subseteq C
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