#T. Prove that the following two statements are not logically equivalent. In your proof, completely justify your answer. (a) A real number is less than 1 only if its reciprocal is greater than 1. (b) Having a reciprocal greater than 1 is a sufficient condition for a real number to be less than 1.
#T. Prove that the following two statements are not logically equivalent. In your proof, completely justify your answer. (a) A real number is less than 1 only if its reciprocal is greater than 1. (b) Having a reciprocal greater than 1 is a sufficient condition for a real number to be less than 1.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:#1.
Prove that the following two statements are not logically equivalent. In your
proof, completely justify your answer.
(a) A real number is less than 1 only if its reciprocal is greater than 1.
(b) Having a reciprocal greater than 1 is a sufficient condition for a real
number to be less than 1.
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