How does number 1 differ than a relation? Please explain how, thank you. My teacher wants me to implication the first one however I don’t understand it so please help me. Thank you. A function F from a set A to a set B is a relation with domain A and co-domain Bthat satisfies the following two properties:1. For every element x in A, there is an element y in B such that (x, y) E F.2. For all elements x in A and y and z in B,if (x, y) E Fand (x, z) E F, then y = z.

Relation: Let A and B be two non-empty sets. A relation R from A into B is a subset of A*B.…

Answered: How does number 1 differ than a…

How does number 1 differ than a relation? Please explain how, thank you. My teacher wants me to implication the first one however I don’t understand it so please help me. Thank you.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.2: Mappings

Problem 27E: 27. Let , where and are nonempty. Prove that has the property that for every subset of if and...

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Question

How does number 1 differ than a relation? Please explain how, thank you. My teacher wants me to implication the first one however I don’t understand it so please help me. Thank you.

A function F from a set A to a set B is a relation with domain A and co-domain B
that satisfies the following two properties:
1. For every element x in A, there is an element y in B such that (x, y) E F.
2. For all elements x in A and y and z in B,
if (x, y) E Fand (x, z) E F, then y = z.

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