Question
Let A = {1, 2, 3, 4, 5, 6}. Define a relation R from A to A by R = {(x, y) : y = x + 1 }. Write down the domain, codomain and range of R

Answer

We have, R={(x,y):y=x+1}
Since A={1,2,3,4,5,6}
Therefore, R={(1,2),(2,3),(3,4),(4,5),(5,6)}
Therefore, domain ={1, 2, 3, 4, 5,}
Similarly, the range = {2, 3, 4, 5, 6} and the co-domain = {1, 2, 3, 4, 5, 6}

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