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If R is a relation defined on the set of naturalnimbers N as follows:R={(x, y, x e N, y e N and 2x + y = 24),then find the domain and range of therelation RAlso, find whether R isrelation or not.an equivalence |
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Answer» We have R = {(x,y) :x ∈ N, y ∈ N, 2x + y = 24} y = 24 - 2xAs y ∈ NSo, 24 - 2x >= 1-2x >= - 24x =< 12Domain = {1,2,3,.....,12} So Domain is first 12 natural numbers 2x + y = 242x = 24 - yx = (24 - y) /2 As x ∈ N(24 - y) /2 >= 124 - y >= 2y =< 22So, range is first 22 natural numbers |
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