Disprove the following statement by giving counterexample. For every integer n, if n is even then n² + 1 is prime. Counterexample: Consider the ordered pair (n, n² + 1) = | The values in the ordered pair show that the given statement is false because (choose one) On is even and n² + 1 is prime. On is even and n² + 1 is not prime. On is not even and n² + 1 is prime. On is not even and n² + 1 is not prime.

C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter5: Control Structures Ii (repetition)
Section: Chapter Questions
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Disprove the following statement by giving a counterexample.
For every integer n, if n is even then n² + 1 is prime.
Counterexample: Consider the ordered pair (n, n² + 1) =
The values in the ordered pair show that the given statement is false because (choose one)
On is even and n² + 1 is prime.
n is even and n² + 1 is not prime.
On is not even and n² + 1 is prime.
On is not even and n² + 1 is not prime.
Transcribed Image Text:Disprove the following statement by giving a counterexample. For every integer n, if n is even then n² + 1 is prime. Counterexample: Consider the ordered pair (n, n² + 1) = The values in the ordered pair show that the given statement is false because (choose one) On is even and n² + 1 is prime. n is even and n² + 1 is not prime. On is not even and n² + 1 is prime. On is not even and n² + 1 is not prime.
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