#
Let R be the relation on set of all real numbers

defined by xRy iff |x-y|<=1/2.then R is

1
by ujawalwagh97

Log in to add a comment

defined by xRy iff |x-y|<=1/2.then R is

by ujawalwagh97

Log in to add a comment

R is reflexive since |x-x|=0 which is <=1/2

R is symmetric becoz

if |1-2|<=1/2 then |2-1|<=1/2

R is not transitive becoz

if|1-2|<=1/2 & |2-3|<=1/2 that doesn't imply that |1-3|<=1/2

Therefore, R is reflexive, symmetric but not transitive