Show that the following statement is false: For all

Chapter 4, Problem 18E

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QUESTION:

Problem 18E

Show that the following statement is false: For all integers a and b, if 3 | (a + b) then 3 | (a − b).

Questions & Answers

QUESTION:

Problem 18E

Show that the following statement is false: For all integers a and b, if 3 | (a + b) then 3 | (a − b).

ANSWER:

Solution :

Step 1 :

In this problem we have to prove the given statement is false.

Consider the integers  and  such that then prove that

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