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in Sets, relations and functions by (53.3k points)

The relation R defined on the set of natural numbers as {(a, b) : a differs from b by 3} is given by 

(A)  {(1, 4, (2, 5), (3, 6), ...} 

(B)  {(4, 1), (5, 2), (6, 3), ...} 

(C)  {(1, 3), (2, 6), (3, 9), …} 

(D)  None of these

1 Answer

+1 vote
by (53.1k points)
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Best answer

Correct option   (B) {(4, 1), (5, 2), (6, 3), ...}

Explanation :

R = {(a,b): a,b ∈ N, a - b = 3} ={((n + 3),n) : n ∈ N}

= {(4 1, ),(5 2, ),(6 3, ),...}.

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