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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
37. There is a counting number n such that 2
n
+7
n
is a prime number.
38. Let a be an irrational number. Then there exists an irrational number b such that ab is an integer.
39. There is a second degree polynomial P such that P(0) = 1 and P(1) = 2.
40. There exist two rational numbers a and b such that a
b
is a positive integer and b
a
is a negative
integer.
41. If P(x)=a
n
x
n
+ a
n1
x
n1
+
.
+ a
1
x + a
0
is a polynomial of degree n,withn odd, then the equation
P(x) = 0 has at least one real solution. ()
42. Let a and b be two rational numbers, with a < b. Then there exist at least three rational number s
between a and b.
43. There exists an integer number k such ...
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Publisher Resources

ISBN: 9780123822178