Question

If R = {(x, y): x, y∈N, x < 5 and y = 3} is a relation, then find domain and range of R.

Answer 1

Answer:

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Answer 2

Answer:

Step-by-step explanation:

The possible values of x which satisfies the given relation is the domain of the relation

The possible values of y which satisfies the given relation is the range of the relation

Given that x,y are natural numbers and the relation is x+2y=5

For x=1 , the value of y is 2

For x=3 , the value of y is 1

If x≥5, then y is negative which does not belong to naturals.

If x=2,4 then y becomes rational number which is not in naturals.

Thus, only 1 and 3 gives y as natural numbers 2 and 1.

Therefore, the domain is {1,3} and the range is {2,1}

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