Answered: Proficiency #7. For each of the two…

Math

Advanced Math

Proficiency #7. For each of the two following statements, give a counterexample to show that the statement is false.

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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Question

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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