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.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 38E
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