Hi I don't understand which type of proof to use (direct, contrapositive, and contridiction). Like when it  ask:  "prove that if m+n and n+p are even integers, where m,n, and p are intergers, then m+p is even. What kind of proof do you use?"  I also don't understand the difference between contrapositive and contridiction.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.7: Problem Solving: Consecutive Integers
Problem 14OE
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Hi I don't understand which type of proof to use (direct, contrapositive, and contridiction). Like when it  ask:  "prove that if m+n and n+p are even integers, where m,n, and p are intergers, then m+p is even. What kind of proof do you use?" 

I also don't understand the difference between contrapositive and contridiction.

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