Book edition 7th

Author(s) Kenneth H. Rosen

Pages 808 pages

ISBN 9780073383095

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Short Answer

Which relations in Exercise 4 are irreflexive?

The sets which are irreflexive from Exercise 4 are below.

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Step by Step Solution

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TABLE OF CONTENTS

Step 1: Given data

$(a, b) \in R$ is the given set.

Step 2: Concept used of relation

A relation $R$ on a set $A$ is called reflexive if $(a, a) \in R$ for every element $a \in A$ .

A relation $R$ on a set $A$ is called symmetric if $(b, a) \in R$ whenever $(a, b) \in R$ , for all $a, b \in A$

A relation $R$ on a set $A$ such that for all $a, b \in A$ , if $(a, b) \in R$ and $(b, a) \in R$ then $a = b$ is called anti symmetric.

A relation $R$ on a set $A$ is called transitive if whenever $(a, b) \in R$ and $(b, c) \in R$ then $(a, c) \in R$ for all $a, b, c \in A$

Step 3: Solve for relation

$a$ is taller than $b$ is the only relation which is irreflexive.

The sets which are irreflexive from Exercise $4$ are above.

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Discrete Mathematics and its Applications

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Short Answer

Which relations in Exercise 4 are irreflexive?

Step by Step Solution

Step 1: Given data

Step 2: Concept used of relation

Step 3: Solve for relation

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Discrete Mathematics and its Applications

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Short Answer

Which relations in Exercise 4 are irreflexive?

Step by Step Solution

Step 1: Given data

Step 2: Concept used of relation

Step 3: Solve for relation

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