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Get Full Access to A Transition To Advanced Mathematics - 7 Edition - Chapter 4.1 - Problem 5
Get Full Access to A Transition To Advanced Mathematics - 7 Edition - Chapter 4.1 - Problem 5

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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

ISBN: 9780495562023 335

## Solution for problem 5 Chapter 4.1

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

Step 3 of 4

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