Let and . Define the relation . Which of the following sets equals…

MATHEMATICS · Single correct · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Let

A=\{1,2,3\}

and

B=\{1,2,3,4\}

. Define the relation

R=\{(a,b)\in A\times B\mid b \text{ is the least element of } B \text{ that is greater than } a\}

. Which of the following sets equals

R

? (a)

(1,1),(2,2),(3,3)

(b)

(1,2),(2,3),(3,4)

(c)

(1,3),(2,4),(3,4)

(d)

(1,2),(2,3)