Let a and b be integers. 1. Proof by by contrapositive  the following statement: If a + b is an even number then both a and b are odd or both a and b are even 2. Proof  by contrapositive that a + b is an even number if and only if both a and b are odd or both a and b are even.

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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Let a and b be integers.

1. Proof by by contrapositive  the following statement: If a + b is an even number then both a and b are odd or both a and b are even

2. Proof  by contrapositive that a + b is an even number if and only if both a and b are odd or both a and b are even.

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