Question

mod(a-b) is reflexive or transitive or symmetric when aRb

Answer 1

\[\left| a-b \right|\le1\]

Answer 2

Hi!!

Answer 3

what is the relation R?

Answer 4

the question is not posed in any way that makes sense
you need a relation R, then you can ask "is R reflexive, symmetric, transitive?"

Answer 5

let R be the relatio on the set "R"(different R) of all real numbers defined by aRb if mod(a-b)<=1.then R is a)reflexive and symmetric b)symmetric only c)transtive only d)anti symmetric only

Answer 6

ooh !!

Answer 7

and mod is as in absolute value, not "modulo" right?

Answer 8

\[aRb\iff |a-b|\leq 1\]

Answer 9

we need to check the definitions
is \(aRa\) ? if so, then it is reflexive
so is \(|a-b|\leq 1\)?