Chapter 8.5, Problem 1TY

To determine

To fill in the blanks for the given statement.

Answer to Problem 1TY

For a relation $R$ on a set $A$ is said to be antisymmetric means that for all $a,b$ in $A,$ If $aRb\text{ and }bRa\text{ then }a=b.$

Explanation of Solution

Given information:

A relation $R$ on a set $A$ is antisymmetric.

Concept used:

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

Calculation:

For a relation $R$ on a set $A$ is said to be antisymmetric means that for all $a,b$ in $A,$ If $aRb\text{ and }bRa\text{ then }a=b.$