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Elements Of Modern Algebra

8th Edition
Gilbert + 2 others
ISBN: 9781285463230

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BuyFindarrow_forward

Elements Of Modern Algebra

8th Edition
Gilbert + 2 others
ISBN: 9781285463230
Textbook Problem
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Label each of the following statements as either true or false.

Every relation on a nonempty set A is as mapping.

To determine

Whether the statement, “Every relation on the nonempty set A is a mapping” is true or false.

Explanation

Consider the statement, “Every relation on the nonempty set A is a mapping”.

Counter example:

Let A={1,3,5}

Let R={(5,1),(5,3),(5,5)} is relation on set A.

For 5A there exists image 1A such that (5,1)R

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