et A be the set of letters in the English alphabet with the usual order. Define (A², <) such that (a, 3) ≤ (7,8) f either a

Calculus For The Life Sciences
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Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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Let A be the set of letters in the English alphabet with the usual order. Define (A², <) such that (a, 3) ≤ (7,5)
if either a <%, or a = y and 3 ≤ 6. Show that this is a total ordering and also a well-ordering. Use this to
justify that the set of words in a particular dictionary is well-ordered. (You may use a, 3, 7, 6, 6, w.)
Transcribed Image Text:Let A be the set of letters in the English alphabet with the usual order. Define (A², <) such that (a, 3) ≤ (7,5) if either a <%, or a = y and 3 ≤ 6. Show that this is a total ordering and also a well-ordering. Use this to justify that the set of words in a particular dictionary is well-ordered. (You may use a, 3, 7, 6, 6, w.)
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