Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Proficiency #7. For each of the two following statements, give a counterexample to show
that the statement is false.
a. (Vr E Z)(3y E Z)(xy > x + y).
b. If n is a positive integer, then n2 + n+1 is a prime number.
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Transcribed Image Text:Proficiency #7. For each of the two following statements, give a counterexample to show that the statement is false. a. (Vr E Z)(3y E Z)(xy > x + y). b. If n is a positive integer, then n2 + n+1 is a prime number.
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