Q.

Let X=1, 2, 3, 4, 5 and Y=1, 3, 5, 7, 9. Which of the followingis not  relations from X to Y

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a

R1=x,y|y=2+x, x∈X, y∈Y

b

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

c

R3=1,1, 1, 3, (3, 5), (3,7), (5,7)

d

R4=(1, 3), 2, 5, (2, 4), (7, 9)

answer is D.

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Detailed Solution

R4 is not a relation from X to Y, because 7, 9∈R4 but 7, 9∉X×Y.
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Let X=1, 2, 3, 4, 5 and Y=1, 3, 5, 7, 9. Which of the followingis not  relations from X to Y