Question
Mathematics Question on Relations
Let ρ be a relation defined on a set of natural numbers N, as ρ={(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}