1.

For a, b ∈ R define a = b to mean that |x| = |y|. If [x] is an equivalence relation in R. Find the equivalence relation for [17].(a) {,…,-11, -7, 0, 7, 11,…}(b) {2, 4, 9, 11, 15,…}(c) {-17, 17}(d) {5, 25, 125,…}This question was posed to me during an interview.Question is from Relations in section Relations of Discrete Mathematics

Answer»

Right ANSWER is (C) {-17, 17}

Explanation: We can FIND that [17] = {a ∈ R|a = 17} = {a ∈ R||a| = |17|} = {-17, 17} and [−17] = {a ∈ R|a = −17} = {a ∈ R||a| = |−17|}= {−17, 17}. Hence, the REQUIRED equivalence relation is {-17, 17}.


Discussion

No Comment Found

Related InterviewSolutions