Let A={1,2,3,4,5} and R be a relation from A to A, R = {(x, y): y = x + 1}. Find the domain.(a) {1,2,3,4,5}(b) {2,3,4,5}(c) {1,2,3,4}(d) {1,2,3,4,5,6}The question was asked in an international level competition.My enquiry is from Relations in division Relations and Functions of Mathematics – Class 11

Let A={1,2,3,4,5} and R be a relation from A to A, R = {(x, y): y = x

1.	Let A={1,2,3,4,5} and R be a relation from A to A, R = {(x, y): y = x + 1}. Find the domain.(a) {1,2,3,4,5}(b) {2,3,4,5}(c) {1,2,3,4}(d) {1,2,3,4,5,6}The question was asked in an international level competition.My enquiry is from Relations in division Relations and Functions of Mathematics – Class 11
Answer» RIGHT ANSWER is (a) {1,2,3,4,5} For explanation I would say: We know, domain of a RELATION is the set from which relation is DEFINED i.e. set A. So, domain = {1,2,3,4,5}.

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