(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let S be the set of integers. If a,b[tex]\in[/tex] S, define aRb if ab[tex]\geq[/tex]0. Is R an equivalence relation on S?

2. Relevant equations

3. The attempt at a solution

Def: aRb=bRa [tex]\rightarrow[/tex] ab=ba

assume that aRb and bRc [tex]\Rightarrow[/tex] aRc

a=b and b=c

since a=b, the substitute a in for b to get a=c

I don't know where to go from here.

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Equivalence relations

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