Assignment#1-100426154 (dhavakumar patel)

# Assignment#1-100426154 (dhavakumar patel) - Dhavalkumar...

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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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20. Determine whether these are valid arguments. a) If x is a positive real number, then is a positive real number. Therefore, if 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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Assignment#1-100426154 (dhavakumar patel) - Dhavalkumar...

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