Question

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

(a) {1,2,3,4,5}

(b) {2,3,4,5}

(c) {1,2,3,4}

(d) {1,2,3,4,5,6}

This question was posed to me during an online exam.

This interesting question is from Relations topic in chapter Relations and Functions of Mathematics – Class 11

Answer 1

The correct option is (a) {1,2,3,4,5}

To elaborate: We know, codomain of a relation is the set to which relation is defined i.e. set A.

So, codomain = {1,2,3,4,5}.