Question: 6. For each relation on R, decide whether the relation is reflexive, symmetric, antisymmetric, and transitive. No justification required if yes but provide example if

6. For each relation on R, decide whether the relation is reflexive, symmetric, antisymmetric, and transitive. No justification required if "yes" but provide example if "no". Is it a partial order? Is it an equivalence relation? (a) L :x~ yify = x+1 (b) D : x~ y ifa2 +y's1 (c) S : x ~ y if sin(x) = sin(y) 7. For each relation on R2, decide whether the relation is reflexive, symmetric, antisymmetric, and transitive. No justification required if "yes" but provide example if "no". Is it a partial order? Is it an equivalence relation? (a) V : (x1, y1) ~ (x2, 32) if x1 = 22 (b) R: (21, y1) ~ (x2, y2) if x1

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