First slide

Introduction to Relations (XI) on Sets

Question

$If ' R^{'} be a relation defined as a R b iff | a - b | > 0, then the relation is (a, b \in R)$

Easy

A

Reflexive only
B

symmetric only
C

Transitive only
D

Symmetric and transitive

Solution

$\begin{array}{l} | a - a | = 0 \\ ∴ R is not Reflexive \end{array}$
$\begin{array}{l} If | a - b | > 0 \Rightarrow | b - a | > 0 \\ R is Symmetric \end{array}$

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