In 3 and 4, supply explanations of the steps in the given proofs. Theorem: For all sets A, B, and C , if A ⊆ B , B ⊆ C then A ⊆ C . Proof: Statement Explanation Suppose A, B, and C are any sets such that A ⊆ B and B ⊆ C . starting point We must show that A ⊆ C . conclusion to be shown Let x be any element in A. start of an element proof Then x is in B . ( a ) . It follows that x is in C. ( b ) . Thus every element in A is in C . since x could be any element of A Therefore, A ⊆ C [as was to be shown]. ( c ) .

Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
Publisher: Cengage Learning,
ISBN: 9781337694193

Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
Publisher: Cengage Learning,
ISBN: 9781337694193

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Chapter 6.2, Problem 3ES
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