Prove that these relations on the set of all functions from Z to Z are equiva- lence relations. Describe the equivalence classes. (a) R6= {(f,g) | ƒ (0) = g(0)}

R is a relation on set of integers (Z) and it is given by Then, R is (x, y) = R⇒ |x − y| ≤ 1. reflexive and transitive reflexive and symmetric equivalence relation symmetric and transitive

Consider the relation R on R given by R = {(a, b) | a−b > 3 or a−b = 0}. (a) Show that R is not an equivalence relation. (b) Determine whether R is or is not a partial order. (You must support your answer.)

I need help answering the attached question.  Thank you