- #1
eiselea
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Homework Statement
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?
Homework Equations
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.