i've found it's reflexive and symetric but i don't know how to check if it's transitive
S Seth1288 New member Joined May 11, 2020 Messages 2 May 14, 2020 #1 i've found it's reflexive and symetric but i don't know how to check if it's transitive
pka Elite Member Joined Jan 29, 2005 Messages 11,971 May 14, 2020 #2 Seth1288 said: View attachment 18846 i've found it's reflexive and symetric but i don't know how to check if it's transitive Click to expand... If \((a,b)\rho(s,t)~\&~(s,t)\rho(u,v)\) we know that \(a+t=b+s~\&~s+v=t+u\) \(a+t=b+s\\ s-t=u-v\\ a+s=b+s+u-v\\ a+v=b+u\) NOW WHAT?
Seth1288 said: View attachment 18846 i've found it's reflexive and symetric but i don't know how to check if it's transitive Click to expand... If \((a,b)\rho(s,t)~\&~(s,t)\rho(u,v)\) we know that \(a+t=b+s~\&~s+v=t+u\) \(a+t=b+s\\ s-t=u-v\\ a+s=b+s+u-v\\ a+v=b+u\) NOW WHAT?
