.. Let Rbe a relation defined on the set of all natural
numbers as R= {(x, y): XEN, YEN,
2x + y = 41}. Find the domain and range of this
relation R. Also verify whether R is:
(i) Reflexive, (ii) Symmetric, (iii) Transitive.
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Answer:
(iii) Transitive is the correct answer
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Answer:
Domain of R is the values of x and range of R is the values of y that together should satisfy 2x+y = 41. ⇒ 2x+x = 41 cannot be true. So, R is not reflexive. ... Thus, R is not transitive.
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