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Question
A relation R is defined from {2, 3, 4, 5} to {3, 6, 7, 10} by : x R y ⇔ x is relatively prime to y. Then, domain of R is ______________ .
Options
{2, 3, 5}
{3, 5}
{2, 3, 4}
{2, 3, 4, 5}
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Solution
{2, 3, 4, 5}
The relation R is defined as
R = {(x, y) : x ∈ {2, 3, 4, 5}, y ∈ {3, 6, 7, 10} : x is relatively prime to y}
⇒ R= { (2, 3), (2, 7), (3, 7), (3, 10), (4, 7), (5, 3), (5, 7) }
Hence, the domain of R includes all the values of x, i.e. {2, 3, 4, 5}.
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