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Disprove the following statement by giving a counterexample. For every integer p, if p is prime then p² - 1 is even. Counterexample: Consider the ordered pair (p, p² - 1) = ( 3 X The values in the ordered pair show that the given statement is false because (choose one) p is prime and p² - 1 is even. Op is prime and p² - 1 is not even. Op is not prime and p² - 1 is even. p is not prime and p² - 1 is not even.

Disprove the following statement by giving a counterexample. For every integer p, if p is prime then p² - 1 is even. Counterexample: Consider the ordered pair (p, p² - 1) = ( 3 X The values in the ordered pair show that the given statement is false because (choose one) p is prime and p² - 1 is even. Op is prime and p² - 1 is not even. Op is not prime and p² - 1 is even. p is not prime and p² - 1 is not even.

Advanced Engineering Mathematics
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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Disprove the following statement by giving a counterexample. For every integer p, if p is prime then p² - 1 is even. Counterexample: Consider the ordered pair (p, p² − 1) = | 3 The values in the ordered pair show that the given statement is false because (choose one) p is prime and p² - 1 is even. p is prime and p² - 1 is not even. Op is not prime and p² - 1 is even. p is not prime and p² - 1 is not even. X
Transcribed Image Text:Disprove the following statement by giving a counterexample. For every integer p, if p is prime then p² - 1 is even. Counterexample: Consider the ordered pair (p, p² − 1) = | 3 The values in the ordered pair show that the given statement is false because (choose one) p is prime and p² - 1 is even. p is prime and p² - 1 is not even. Op is not prime and p² - 1 is even. p is not prime and p² - 1 is not even. X
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