Let a and b be integers.  State the counterpositive statement to the following statement: If a + b is an even number then both a and b are odd or both a and b are even.   The skeleton of the proof of P→QP→Q by contrapositive

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.3: Divisibility
Problem 10TFE
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Let a and b be integers.

 State the counterpositive statement to the following statement: If a + b is an even number then both a and b are odd or both a and b are even.

 

The skeleton of the proof of P→QP→Q by contrapositive will always look roughly like this:

Assume ¬Q.¬Q. Explain, explain, … explain. Therefore ¬P.

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