Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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why the know-show table below is not valid: I know something is wrong in the step p2-p5 but I don't know how to explain it. Can you explain why please.
Consider the following statement:
For all integers a and b, if a 0 (mod 6) and b #0 (mod 6), then
ab #0 (mod 6).
Which of the following statements are true? (select all that apply)
Original statement
✓ Contrapositive
Converse
Negation
☐ None of the statements are true
Proposition: If m is an odd integer, then m + 6 is
an odd integer.
Proof: For m + 6 to be an odd integer, there must
exist an integer n such that
m+6=2n+1.
Subtracting 6 from both sides, we see that
m = 2n+1-6
=
= 2n― 6+1
= 2(n − 3) + 1.
Since the integers are closed under subtraction,
then n-3 € Z. Hence, the last equation implies
that m = = 2q+1 where q = n = 3. This proves
-
that if m is an odd integer, then m + 6 is an odd
integer.
Based upon the Reading assignment and the Elements of Style >>, which of the
following is the most significant error in the proof?
The proof does not use complete sentences
The proof contains a sentence that begins with a mathematical symbol
The proof uses cumbersome notation
The proof contains a variable used for more than one object
The proof is written backwards
The proof uses an example to prove the general case
Chapter 24 Solutions
Advanced Engineering Mathematics
Ch. 24.1 - Prob. 1PCh. 24.1 - Prob. 2PCh. 24.1 - Prob. 3PCh. 24.1 - Prob. 4PCh. 24.1 - Prob. 5PCh. 24.1 - Prob. 6PCh. 24.1 - Prob. 7PCh. 24.1 - Prob. 8PCh. 24.1 - Prob. 9PCh. 24.1 - Prob. 10P
Ch. 24.1 - Prob. 11PCh. 24.1 - Prob. 12PCh. 24.1 - Prob. 13PCh. 24.1 - Prob. 14PCh. 24.1 - Prob. 15PCh. 24.1 - Prob. 16PCh. 24.1 - Prob. 17PCh. 24.1 - Prob. 18PCh. 24.1 - Prob. 19PCh. 24.1 - Prob. 20PCh. 24.2 - Prob. 1PCh. 24.2 - Prob. 2PCh. 24.2 - Prob. 3PCh. 24.2 - Prob. 4PCh. 24.2 - Prob. 5PCh. 24.2 - Prob. 6PCh. 24.2 - Prob. 7PCh. 24.2 - Prob. 8PCh. 24.2 - Prob. 9PCh. 24.2 - Prob. 10PCh. 24.2 - Prob. 11PCh. 24.2 - Prob. 12PCh. 24.2 - Prob. 13PCh. 24.2 - Prob. 14PCh. 24.2 - Prob. 15PCh. 24.2 - Prob. 16PCh. 24.2 - Prob. 17PCh. 24.2 - Prob. 18PCh. 24.2 - Prob. 19PCh. 24.2 - Prob. 20PCh. 24.3 - Prob. 1PCh. 24.3 - Prob. 2PCh. 24.3 - Prob. 3PCh. 24.3 - Prob. 4PCh. 24.3 - Prob. 5PCh. 24.3 - Prob. 6PCh. 24.3 - Prob. 7PCh. 24.3 - Prob. 8PCh. 24.3 - Prob. 9PCh. 24.3 - Prob. 10PCh. 24.3 - Prob. 11PCh. 24.3 - Prob. 12PCh. 24.3 - Prob. 13PCh. 24.3 - Prob. 14PCh. 24.3 - Prob. 15PCh. 24.3 - Prob. 16PCh. 24.3 - Prob. 17PCh. 24.3 - Prob. 18PCh. 24.3 - Prob. 19PCh. 24.4 - Prob. 1PCh. 24.4 - Prob. 2PCh. 24.4 - Prob. 3PCh. 24.4 - Prob. 4PCh. 24.4 - Prob. 5PCh. 24.4 - Prob. 6PCh. 24.4 - Prob. 7PCh. 24.4 - Prob. 8PCh. 24.4 - Prob. 9PCh. 24.4 - Prob. 10PCh. 24.4 - Prob. 11PCh. 24.4 - Prob. 12PCh. 24.4 - Prob. 15PCh. 24.5 - Prob. 1PCh. 24.5 - Prob. 2PCh. 24.5 - Prob. 3PCh. 24.5 - Prob. 4PCh. 24.5 - Prob. 5PCh. 24.5 - Prob. 6PCh. 24.5 - Prob. 7PCh. 24.5 - Prob. 8PCh. 24.5 - Prob. 9PCh. 24.5 - Prob. 10PCh. 24.5 - Prob. 11PCh. 24.5 - Prob. 12PCh. 24.5 - Prob. 14PCh. 24.5 - Prob. 15PCh. 24.6 - Prob. 1PCh. 24.6 - Prob. 2PCh. 24.6 - Prob. 3PCh. 24.6 - Prob. 4PCh. 24.6 - Prob. 5PCh. 24.6 - Prob. 6PCh. 24.6 - Prob. 7PCh. 24.6 - Prob. 8PCh. 24.6 - Prob. 9PCh. 24.6 - Prob. 10PCh. 24.6 - Prob. 11PCh. 24.6 - Prob. 12PCh. 24.6 - Prob. 13PCh. 24.6 - Prob. 14PCh. 24.6 - Prob. 15PCh. 24.6 - Prob. 16PCh. 24.6 - Prob. 17PCh. 24.6 - Prob. 18PCh. 24.6 - Prob. 19PCh. 24.7 - Prob. 1PCh. 24.7 - Prob. 3PCh. 24.7 - Prob. 4PCh. 24.7 - Prob. 5PCh. 24.7 - Prob. 6PCh. 24.7 - Prob. 7PCh. 24.7 - Prob. 8PCh. 24.7 - Prob. 9PCh. 24.7 - Prob. 10PCh. 24.7 - Prob. 11PCh. 24.7 - Prob. 12PCh. 24.7 - Prob. 13PCh. 24.7 - Prob. 14PCh. 24.7 - Prob. 15PCh. 24.7 - Prob. 17PCh. 24.7 - Prob. 18PCh. 24.8 - Prob. 1PCh. 24.8 - Prob. 2PCh. 24.8 - Prob. 3PCh. 24.8 - Prob. 4PCh. 24.8 - Prob. 5PCh. 24.8 - Prob. 6PCh. 24.8 - Prob. 7PCh. 24.8 - Prob. 8PCh. 24.8 - Prob. 9PCh. 24.8 - Prob. 10PCh. 24.8 - Prob. 11PCh. 24.8 - Prob. 12PCh. 24.8 - Prob. 13PCh. 24.9 - Prob. 1PCh. 24.9 - Prob. 2PCh. 24.9 - Prob. 3PCh. 24.9 - Prob. 4PCh. 24.9 - Prob. 5PCh. 24.9 - Prob. 6PCh. 24.9 - Prob. 7PCh. 24.9 - Prob. 8PCh. 24.9 - Prob. 9PCh. 24.9 - Prob. 10PCh. 24.9 - Prob. 11PCh. 24.9 - Prob. 12PCh. 24.9 - Prob. 13PCh. 24.9 - Prob. 14PCh. 24.9 - Prob. 15PCh. 24.9 - Prob. 16PCh. 24.9 - Prob. 17PCh. 24.9 - Prob. 18PCh. 24.9 - Prob. 19PCh. 24.9 - Prob. 20PCh. 24 - Prob. 1RQCh. 24 - Prob. 2RQCh. 24 - Prob. 3RQCh. 24 - Prob. 4RQCh. 24 - Prob. 5RQCh. 24 - Prob. 6RQCh. 24 - Prob. 7RQCh. 24 - Prob. 9RQCh. 24 - Prob. 10RQCh. 24 - Prob. 11RQCh. 24 - Prob. 12RQCh. 24 - Prob. 13RQCh. 24 - Prob. 14RQCh. 24 - Prob. 15RQCh. 24 - Prob. 16RQCh. 24 - Prob. 17RQCh. 24 - Prob. 18RQCh. 24 - Prob. 19RQCh. 24 - Prob. 20RQCh. 24 - Prob. 21RQCh. 24 - Prob. 22RQCh. 24 - Prob. 23RQCh. 24 - Prob. 24RQCh. 24 - Prob. 25RQ
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