Dhavalkumar Patel
100426154
Assignment #1
Discrete Mathematics
1.5. Rules of Inference (page 74): Exercise 20
1.6. Introduction to Proofs (page 85): Exercise 14
2.2. Set Operations (page 130): Exercise 14
2.4. Sequences and Summations (page 162): Exercise 30
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View Full Document20. Determine whether these are valid arguments.
a) If
x
is a positive real number, then
x²
is a positive real number.
Therefore, if
a²
is positive, where
a
is a real number, then
a
is a
positive real number.
SOLUTION:
•
This argument is Invalid
because the conditional statement “if x is a
positive real number, then x² is a positive real number” is true. However,
the conclusion “if a² is positive, where a is a real number, then a is a
positive real number” is not true because a square root of any number
must be (+/).
If we do the square root of ‘a’ then the answer would be in
positive or negative. Therefore we do not have the absolute answer for it
which makes it false. Since the conclusion is wrong, the argument cannot
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 Spring '12
 sdaf
 positive real number, Set Operations, Dhavalkumar Patel

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