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March 2, 2015

Homework Help: Discrete Math

Posted by Laurey on Monday, February 7, 2011 at 10:10pm.

Consider the following relations on R, the set of real numbers

a. R1: x, y ∈ R if and only if x = y.
b. R2: x, y ∈ R if and only if x ≥ y.
c. R3 : x, y ∈ R if and only if xy < 0.

Determine whether or not each relation is flexible, symmetric, anti-symmetric, or transitive. For each property not possessed by the relation, provide a convincing example. Summarize the results in the table below. What of these are equivalence relations?

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