Determine whether the following argument is valid or invalid. Include a truth table and a few words explaining why the truth table shows validity or invalidity.   If 12 divides 709,438 then 3 divides 709,438.   If the sum of the digits of 709,438 is divisible by 9 then 3 divides 709,438.   The sum of the digits of 709,438 is not divisible by 9.   Therefore, 12 does not divide 709,438.

C++ for Engineers and Scientists
4th Edition
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Bronson, Gary J.
Chapter4: Selection Structures
Section: Chapter Questions
Problem 14PP
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  1. Determine whether the following argument is valid or invalid. Include a truth table and a few words explaining why the truth table shows validity or invalidity.  
  1. If 12 divides 709,438 then 3 divides 709,438.  
    If the sum of the digits of 709,438 is divisible by 9 then 3 divides 709,438.  
    The sum of the digits of 709,438 is not divisible by 9.  
    Therefore, 12 does not divide 709,438. 
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ISBN:
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Course Technology Ptr