teger x such th= ven integer x.

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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1. Which of the following statements is true?
(a) x² + 2x + 6 is even for every integer x.
(b) x² + 2x + 6 is prime for every odd integer x.
(c) x² + 2x + 6 is even for every integer x such that x % 4 = 1.
(d) x² + 2x + 6 is even for every even integer x.
d
a
O b
Transcribed Image Text:1. Which of the following statements is true? (a) x² + 2x + 6 is even for every integer x. (b) x² + 2x + 6 is prime for every odd integer x. (c) x² + 2x + 6 is even for every integer x such that x % 4 = 1. (d) x² + 2x + 6 is even for every even integer x. d a O b
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