Disprove the following statement by giving a counterexample.For every integer \( n \), if \( n \) is even then \( n^2 + 1 \) is prime.**Counterexample:** Consider the ordered pair \( (n, n^2 + 1) = ( \_\_\_\_ ) \).The values in the ordered pair show that the given statement is false because (choose one):- \( n \) is even and \( n^2 + 1 \) is prime.- \( n \) is even and \( n^2 + 1 \) is not prime.- \( n \) is not even and \( n^2 + 1 \) is prime.- \( n \) is not even and \( n^2 + 1 \) is not prime.

The given statement proposes a relationship between even integers 'n' and the primality of 'n² + 1.'…

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.

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.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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