Math, asked by gourav132, 1 year ago

if xRy and yRz then prove that xRy R is relation between them.

Answers

Answered by GovindRavi

What is the definittion of Relation R ?

Suppose if Relation R is defined as R = { (x,y) : x - y = 5}

Let (x ,y) belongs to R and ( y,z) belongs to R
[ To show : ( x,z) belongs to R ]
Now as (x ,y) belongs to R and (y,z) belongs to R
=> x - y = 5 ---(i) and y - z = 5 ---(ii) by definition of R
Adding (i) and (ii) gives ,
( x - y) + ( y - z) = 5 + 5
=> x - z = 10
=> ( x,z) does not belongs to R
=> R is not transitive...

Hope you get the solution

GovindRavi: it may be other definition

GovindRavi: of R

gourav132: the question is if xRy and yRz then prove that xRz if x-y=5

gourav132: ??

GovindRavi: from which book u got this prob

gourav132: my teacher gave it by himself

GovindRavi: okk

GovindRavi: i actually gave you solution as per Relation

gourav132: ok no prob. and thanx for answering

GovindRavi: please contact ur teacher for the solution..

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