Consider the following proof that the statement "for all integers n, n2 + 2n" is not true. Proof: Let n = 2, then we have n2 = 22 = 4 = 2.2 = 2n. Therefore above statement is not true. Which proof method is used in above proof. Proof by counterexample Direct proof O Proof by contraposition O Proof by contradiction
Consider the following proof that the statement "for all integers n, n2 + 2n" is not true. Proof: Let n = 2, then we have n2 = 22 = 4 = 2.2 = 2n. Therefore above statement is not true. Which proof method is used in above proof. Proof by counterexample Direct proof O Proof by contraposition O Proof by contradiction
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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