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) = 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 p? - 1 is not even. O p is not prime and p2 – 1 is even. p is not prime and p2 - 1 is not even. Need Help? Read It Watch It
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) = 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 p? - 1 is not even. O p is not prime and p2 – 1 is even. p is not prime and p2 - 1 is not even. Need Help? Read It Watch It
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.2: Mathematical Induction
Problem 49E: Show that if the statement
is assumed to be true for , then it can be proved to be true for . Is...
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