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If R=[(x, y) : x+2y=8] is a relation on N, write the range of R. - Mathematics

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If R=[(x, y) : x+2y=8] is a relation on N, write the range of R.

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Solution

The given relation on N is R=[(x, y) : x+2y=8].

Let us find the different integral values of y for different integral values of x.
For x = 2, y = 3
For x = 4, y = 2
For x = 6, y = 1

R = {(2, 3), (4, 2), (6, 1)}

Therefore, the range of R is {1, 2, 3}.

Concept: Types of Relations
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