   Chapter 8.5, Problem 2ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
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# Let P be the set of all people in the world and define a relation R on P as follows: For all people x and y, x R y           ⇔       x   is no   older   than   y . Is R antisy mmetric? Prove or give a counterexample.

To determine

To check:

Whether R is antisymmetric or not.

Explanation

Given information:

Let P be the set of all people in the world and define a relation R on P as follows:

For all x,yP,xRyx is no older than y.

Concept used:

A relation R on a set A is said to be antisymmetric if and only if for all a and b in A, if aRb and bRa then a=b.

Calculation:

Let P be the set of all people in the world and define a relation R on P as follows:

For all x,yP,xRyx is no older than y

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