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Question

Mathematics Question on Relations

Let ρ\rho be a relation defined on a set of natural numbers N, as ρ\rho={(x,y)∈N×N:2x+y=4}, then domain A and range B are

A

A⊂{x∈N:1≤x≤20} and B⊂{y∈N:1≤y≤39}

B

A={x∈N:1≤x≤15} and B={y∈N:2≤y≤30}

C

A≡N,B≡Q

D

A=Q,B=Q

Answer

A⊂{x∈N:1≤x≤20} and B⊂{y∈N:1≤y≤39}

Explanation

Solution

The correct answer is option (A): A⊂{x∈N:1≤x≤20} and B⊂{y∈N:1≤y≤39}