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Let A={1,2,3ddot, 14} . Define a relatio...

Let `A={1,2,3ddot, 14}` . Define a relation on a set A by `R={(x , y):3x-y=0. w h e r e\ x , y in A}` . Depict this relationship using an arrow diagram. Write down its domain, co-domain and range.

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`A={1,2,3,...,14}`
and `R={(x,y):3x-y=0 "where " x,y in A}`
`therefore 3x-y=0impliesy=3x`
Taking the values of x as 1,2.3 and 4,y = 3,6.9,12.
`therefore` Relation of A from A.
`R={(1,3),(2,6),(3,9),(4,12)}`
Therefore, domain of relation `R={1,2,3,4} and "range"={3,6,9,12}.`
Co-domain `={1,2,3,4,...,14}`
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