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Question: A relation R is defined from {2, 3, 4, 5} to {3, 6, 7, 10} by \(x R y \Leftrightarrow x\) is relativ...

A relation R is defined from {2, 3, 4, 5} to {3, 6, 7, 10} by xRyxx R y \Leftrightarrow x is relatively prime to y. Then domain of R is

A

{2, 3, 5}

B

{3, 5}

C

{2, 3, 4}

D

{2, 3, 4, 5}

Answer

{2, 3, 4, 5}

Explanation

Solution

Given, xRyxx R y \Rightarrow xis relatively prime to y.

∴ Domain of R={2,3,4,5}R = \{ 2,3,4,5 \}.