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The Nuts and Bolts of Proofs, 4th Edition
book

The Nuts and Bolts of Proofs, 4th Edition

by Antonella Cupillari
January 2011
Beginner content levelBeginner
296 pages
11h 43m
English
Academic Press
Content preview from The Nuts and Bolts of Proofs, 4th Edition
Prove the following statements by proving their contrapositives.
40. The function f(x)=mx + b, with m 0, is a one-to-one function. (See Facts and Properties of Func-
tions at the front of the book for the definition of one-to-one function.)
41. Let n be a counting number. If the number 2
n
1 is a prime number, then n is prime.
42. Let a and b be two integers. If ab is an even number, then either a or b is an even number.
43. If m is a positive number, the function f (x)=mx + b is increasing. (See Facts and Properti es of
Functions at the front of the book for the definition of one-to-one function.)
44. If a number is divisible by 10, its unit ...
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Publisher Resources

ISBN: 9780123822178