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Question

Let X = {1,2,3,4,5} and Y = {1,3,5,7,9}. Which of the following is/are relations from X to Y


A

R1={(x,y)y=2+x,xX,yY}

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B

R2={(1,1),(2,1),(3,3),(4,3),(5,5)}

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C

R3={(1,1),(1,3),(3,5),(3,7),(5,7)}

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D

R4={(1,3),(2,5),(2,4),(7,9)}

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Solution

The correct option is C

R3={(1,1),(1,3),(3,5),(3,7),(5,7)}


If 'R' is a relation from 'A' to 'B' , then 'R' is defined as {(x,y)| x A and y B}

In all the ordered pairs in the realtions of R1, R2, R3 first component X and second component Y. So, R1, R2, R3are relations from X to Y.

R4 is not a relation from X to Y , because in ordered pain (7,9) the first component 7 X.


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