Let m and n be integers. Two integers m and n are said to be consecutive if |m−n| = 1. Consider the statement: If m + n is not odd then m and n are not consecutive integers. Prove the above statement by contradiction. State the contrapositive of the given statement. State the converse of the given statement then show that the converse is not true.
Let m and n be integers. Two integers m and n are said to be consecutive if |m−n| = 1. Consider the statement: If m + n is not odd then m and n are not consecutive integers. Prove the above statement by contradiction. State the contrapositive of the given statement. State the converse of the given statement then show that the converse is not true.
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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Let m and n be integers. Two integers m and n are said to be consecutive if |m−n| = 1. Consider the statement: If m + n is not odd then m and n are not consecutive integers. Prove the above statement by contradiction. State the contrapositive of the given statement. State the converse of the given statement then show that the converse is not true.
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