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6. (a) Consider the following relation R on the set {x,y,z, v}: R= {(x,x), (x,y),(2, 2), (2, v),(y,y),(y,x),(4,0), (2, 2), (2, 4), (u, v), (0, 2)}. Determine whether R is reflexive, transitive, a partial order, and/or an equivalence relation. (b) Determine which of the following relations on R is reflexive, symmetric, antisymmetric, and/or transitive, where (x,y) e R if and only if 1. x + y = 0 2. x - y is a rational number 3. x + y 4. =lg