Suni et z (e) If n is a real number and n>2, then n'>4. If ns 2, then" (d) Either a positive integer is a perfect square or it has an even number of positive integer divisors. If n is a positive integer that has an odd number of positive integer divisors, then n is a perfect square. ar 1 noitiaoo alo wilizog bb nt ar ae) Ifn is a real number and n>2 , then n>4 It ns 2, u n's 4· ên then

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Answer only the D and E 

Snt ai e(e) If n is a real number and n>2 , then n*>4. If ns 2, then"
Determine whether the following arguments are valid or not. If
2.
an argument is valid, which rule of inference is used? If net
which fallacy occurs?
(a) If n is a real number such that n>1, then n>1. Suppose
that n'>1. Then n>1.
(b) The number log, 3 is irrational if it is not the ratio of two
integers. Therefore, since log,3 cannot be written in the
na
-1
Isdi da
form where a and b are integers, it is irrational.
(c) If n is a real number and n>3, then n'>9. Suppose that
n's 9. Then ns 3.
(d) Either a positive integer is a perfect square or it has an even
number of positive integer divisors. If n is a positive integer
that has an odd number of positive integer divisors, then n is
a perfect square.
a
ar
T noftia
alc
Sni 2r (e) If n is a real number and n>2 , then n>4 If ns 2, a
n's 4 -
2 then
Transcribed Image Text:Snt ai e(e) If n is a real number and n>2 , then n*>4. If ns 2, then" Determine whether the following arguments are valid or not. If 2. an argument is valid, which rule of inference is used? If net which fallacy occurs? (a) If n is a real number such that n>1, then n>1. Suppose that n'>1. Then n>1. (b) The number log, 3 is irrational if it is not the ratio of two integers. Therefore, since log,3 cannot be written in the na -1 Isdi da form where a and b are integers, it is irrational. (c) If n is a real number and n>3, then n'>9. Suppose that n's 9. Then ns 3. (d) Either a positive integer is a perfect square or it has an even number of positive integer divisors. If n is a positive integer that has an odd number of positive integer divisors, then n is a perfect square. a ar T noftia alc Sni 2r (e) If n is a real number and n>2 , then n>4 If ns 2, a n's 4 - 2 then
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