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Question
The relation R defined on the set A = {1, 2, 3, 4, 5} by
R = {(a, b) : | a2 − b2 | < 16} is given by ______________ .
Options
{(1, 1), (2, 1), (3, 1), (4, 1), (2, 3)}
{(2, 2), (3, 2), (4, 2), (2, 4)}
{(3, 3), (4, 3), (5, 4), (3, 4)}
none of these
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Solution
none of these
R is given by {(1, 2), (2, 1), (2, 3), (3, 2), (3, 4), (4, 3), (4, 5), (5, 4), (1, 3), (3, 1), (1, 4), (4, 1) ,(2, 4), (4, 2)}, which is not mentioned in (a), (b) or (c).
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