Reflective Symmetric Transitive Discreate Math Suppose 5 is

Reflective, Symmetric, Transitive - Discreate Math

Suppose 5 is a set people, and R is the following relation on S: aRb if and only if a has chatted with b on the internet. Explain your answers to the following questions and use common sense. Is R reflexive? Is R symmetric? Is R transitive? What is the meaning of the relation R^2? Specifically, when are two people R^2 related? Suppose S is a set of integers, and R is the following relation on S: aRb if and only if a

Solution

(5) (a) R is not reflexive because a is not equals to b.there is a probability that a must have chatted with many other people apart from b andnot just chatted with himself.

(b) R is symmetric because a chatted with b that means b also chatted with a.

(c) R can be transitive because r must have chatted with people apart from b and vice versa.

(6)(a) R is not reflexive beacause a is not equals to b.

(b)R is not antisymmetric beacuase b is not equals to a

(c)R is not transitive.