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IntroAnalysis
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Homework Statement
Suppose R1 and R2 are relations on A. Therefore, R1 [itex]\subseteq[/itex]A X A
and R2 [itex]\subseteq[/itex]A X A
Homework Equations
Let (x, y) and (y, z) [itex]\in[/itex]R1. Then since R1 is transitive, xR1y, and
yR1z implies xR1z.
Does R1\R2 mean: (x,y) [itex]\in[/itex]R1 [itex]\wedge[/itex] (x,y) [itex]\notin[/itex]
R2?
The Attempt at a Solution
Any suggestions? I am losing what a relation R1 minus R2 means to prove or disprove that it is transitive?