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  4. If A = 2,3,4,5 and B = 3,6,7,10 . R is a relation defined by R = ( a , b ): a is relatively prime to b , a ∈ A and b ⊂ B then domain of R is

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Q. If $A =\{2,3,4,5\}$ and $B =\{3,6,7,10\} . R$ is a relation defined by $R =\{( a , b ): a$ is relatively prime to $b , a \in A$ and $b \subset B \}$, then domain of $R$ is

Relations and Functions

Solution:

In Roster form relation $R$ is,
$R =\{(2,3),(2,7),(3,7),(3,10),(4,3),(4,7),(5,3), (5,6),(5,7)\} $
$ \therefore $ Domain of $R =\{2,3,4,5\}$