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Determine whether each of these arguments is valid. If an
Chapter 7, Problem 19E(choose chapter or problem)
Problem 19E
Determine whether each of these arguments is valid. If an argument is correct, what rule of inference is being used? If it is not, what logical error occurs?
a) If n is a real number such that n > 1. then n2 > 1. Suppose that n2 > 1 Then n > 1.
b) If n is a real number with n > 3. then n2 > 9. Suppose that n2 ≤ 9. Then n ≤ 3.
c) If n is a real number with n > 2, then n2 > 4. Suppose that n ≤ 2. Then n2 ≤ 4.
Questions & Answers
QUESTION:
Problem 19E
Determine whether each of these arguments is valid. If an argument is correct, what rule of inference is being used? If it is not, what logical error occurs?
a) If n is a real number such that n > 1. then n2 > 1. Suppose that n2 > 1 Then n > 1.
b) If n is a real number with n > 3. then n2 > 9. Suppose that n2 ≤ 9. Then n ≤ 3.
c) If n is a real number with n > 2, then n2 > 4. Suppose that n ≤ 2. Then n2 ≤ 4.
ANSWER:
Solution:
Step 1
In this problem we need to find if each of these arguments are valid. If an argument is correct, then we need to provide the rule of inference used and if it is not correct then we need to provide the logical error.