Let - be a relation on N defined as: a ~b if a < (b – 1). (i) Is ~ reflexive? Prove your answer. (ii) Is ~ (iii) Is ~ transitive? Prove your answer. symmetric? Prove your answer.

Let R be the relation on R defined by Ry if and only if ry 1. Thus R can also be represented as (r, y) ry = 1} . Use a similar representation for each of your answers to the questions below, and write your answer in the accompanying box What is the composite relation R2 ? (a) (b) What is the composite relation R3? What is the composite relation R4? (c) (d) What is the transitive closure of R?

I need the answer as soon as possible

From the options below, select the ones which are true for the relation ~ on the set of real numbers that is defined by x ~ y if x ≤y. is an equivalence relation O~ is reflexive ~ is transitive O ~ is symmetric ONone of the above