MATHEMATICS · Subjective · CBSE · Mathematics · Relations and Functions · Relations and Functions
Problem
On the set of all integers Z, define a relation R by
R={(a,b)∈Z×Z∣ab≥0}.
(i) Show whether the relation R is reflexive.
(ii) Examine if R is symmetric and give reasons for your answer.
(iii) Investigate the transitivity of R. Provide rigorous justification for each property that you verify or reject.