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प्रश्न
The adjacent figure shows a relationship between the sets P and Q. Write this relation in (i) set builder form (ii) roster form. What is its domain and range?
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उत्तर
(i) We have:
5 - 2 = 3
6 - 2 = 4
7 - 2=5
∴ R = \[{(x, y) : y = x - 2, x \in P, y \in Q}\]
(ii) R = {(5, 3), (6, 4), (7, 5)}
(iii) Domain (R) = {5, 6, 7}
Range (R) = {3, 4, 5}
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संबंधित प्रश्न
Define a relation R on the set N of natural numbers by R = {(x, y): y = x + 5, x is a natural number less than 4; x, y ∈ N}. Depict this relationship using roster form. Write down the domain and the range.
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