Consider the following statement: The negative of any

Chapter 4, Problem 17E

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QUESTION:

Problem 17E

Consider the following statement: The negative of any multiple of 3 is a multiple of 3.

a. Write the statement formally using a quantifier and a variable.

b. Determine whether the statement is true or false and justify your answer.

Questions & Answers

QUESTION:

Problem 17E

Consider the following statement: The negative of any multiple of 3 is a multiple of 3.

a. Write the statement formally using a quantifier and a variable.

b. Determine whether the statement is true or false and justify your answer.

ANSWER:

Solution :

Step 1 :

In this problem we have to express the given statement using quantifiers and variables and also check whether the given statement is true or false.

Where is a any number and  is integer.

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