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If a = [1, 3, 5] and B = [2, 4], List of Elements of R, If R = {(X, Y) : X, Y ∈ a × B and X > Y} - Mathematics

If A = [1, 3, 5] and B = [2, 4], list of elements of R, if
R = {(xy) : xy ∈ A × B and x > y}

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Solution

Given:
A = {1, 3, 5} and B = {2, 4}
R = {(xy) : xy ∈ A × B and x > y}

A × B = {(1,2),(1,4),(3,2),(3,4),(5,2),(5,4)}
As 3 > 2, 5 > 2 and 5 > 4,
we have R = {(3,2),(5,2),(5,4)}

Concept: Relation
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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 2 Relations
Q 9 | Page 25
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