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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
The statement If an integer is a multiple of 10 and 15, then it is a multiple of 30 is true. The proof
is left to the reader.
Exercises
Use counterexamples to prove that the following statements are false.
9. Let f be an increasing function and g be a decreasing function. Then the function f + g is constant. (See
Some Facts and Properties of Functions at the front of the book for the definitions of nonincreasing
function and f + g.)
10. If t is an angle in the first quadrant, then 2 sin t = sin 2 t.
11. Consider the polynomial P (x)=x
2
+2x 3/4. If y = P (x), then y is always negative.
12. The reciprocal of a real number x 1 is a number y such ...
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Publisher Resources

ISBN: 9780123822178