(a) Define an ordered triple (a, b, c) to be equal to ((a, b), c). Prove...
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(a) Define an ordered triple (a, b, c) to be equal to ((a, b), c). Prove that (a, b, c) = (d, e, f) iff a = d, b = e, and c = = f. (b) On the basis of our definition of an ordered pair (a, b) as {{a}, {a,b}}, we might be tempted to define an ordered triple (a, b, c) as {{a}, {a,b}, {a,b,c}}. Show by means of an example that this will not work. That is, find two different ordered triples that have equivalent representations in this set notation. (a) Define an ordered triple (a, b, c) to be equal to ((a, b), c). Prove that (a, b, c) = (d, e, f) iff a = d, b = e, and c = = f. (b) On the basis of our definition of an ordered pair (a, b) as {{a}, {a,b}}, we might be tempted to define an ordered triple (a, b, c) as {{a}, {a,b}, {a,b,c}}. Show by means of an example that this will not work. That is, find two different ordered triples that have equivalent representations in this set notation.
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Related Book For
Intermediate Accounting
ISBN: 978-0324592375
17th Edition
Authors: James D. Stice, Earl K. Stice, Fred Skousen
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