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

Let `A={1,2,3,..., 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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The correct Answer is:
`R={(3,1),(6,2),(9,3),(12,4)}`
Domain: {3, 6, 9, 12}, Range: {1, 2, 3, 4}, Codomain: A
Given relation R from set A to itself is `R={(x,y):x=3y, " where " x,y in A} `
` :. R={(3,1),(6,2),(9,3),(12,4)}`
Domain of R is `{3,6,9,12}` and range of R is `{1,2,3,4}` Codomain of R is set A.
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