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Question

Let A={x:x is a prime factor of 30} and B={y:yN,3y+3<8}. If R is a relation from A to B, then R1 can be

A
{(2,2),(3,3)}
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B
{(3,2),(4,2),(4,3)}
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C
{(2,1),(3,1),(5,2)}
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D
{(1,5),(3,3),(4,2)}
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Solution

The correct options are
A {(2,2),(3,3)}
B {(3,2),(4,2),(4,3)}
D {(1,5),(3,3),(4,2)}
A={x:x is a prime factor of 30}
Prime factors of 30 are 2,3,5
A={2,3,5}
B={y:yN,3y+3<8}
3y+3<8
6y<5
Since yN
B={1,2,3,4}

B×A={(1,2),(1,3),(1,5),(2,2),(2,3),(2,5),(3,2),(3,3),(3,5),(4,2),(4,3),(4,5)}
Here, R is a relation from A to B, then
R1 is a relation from B to A

Now, {(2,2),(3,3)}B×A
{(3,2),(4,2),(4,3)}B×A
​​​​​​​​​​​​​​{(2,1),(3,1),(5,2)}⊄B×A
{(1,5),(3,3),(4,2)}B×A

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