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(a) Let A be the set and let R be the relation on A given byis prime and not equal to 5

A Transition to Advanced Mathematics | 7th Edition | ISBN: 9780495562023 | Authors: Douglas Smith, Maurice Eggen, Richard St. Andre ISBN: 9780495562023 335

Solution for problem 5 Chapter 4.1

A Transition to Advanced Mathematics | 7th Edition

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A Transition to Advanced Mathematics | 7th Edition | ISBN: 9780495562023 | Authors: Douglas Smith, Maurice Eggen, Richard St. Andre

A Transition to Advanced Mathematics | 7th Edition

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Problem 5

(a) Let A be the set and let R be the relation on A given byis prime and not equal to 5 Prove that R is a functionwith domain A.(b) Let A be the set and let R be the relation on A given byis prime}. Prove that R is a function with domain A.(c) Let R be the relation on given by Prove that R isa function with domain

Step-by-Step Solution:

Step 1 of 4

(a)

Consider  is the set  and  is the relation on  given by .

Now, take each element of  as value of  and solve as follows:

For  then

It implies that  is prime and not equal to 5 iff .

Step 2 of 4

Chapter 4.1, Problem 5 is Solved
Step 3 of 4

Textbook: A Transition to Advanced Mathematics
Edition: 7
Author: Douglas Smith, Maurice Eggen, Richard St. Andre
ISBN: 9780495562023

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(a) Let A be the set and let R be the relation on A given byis prime and not equal to 5