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 range.

(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 by my college director while I was bunking the class.

Question is taken from Relations in division Relations and Functions of Mathematics – Class 11

Answer 1

Right choice is (b) {2,3,4,5}

To elaborate: Range is the set of elements of codomain which have their preimage in domain.

Relation R = {(1,2), (2,3), (3,4), (4,5)}.

Range = {2,3,4,5}.