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Question: Let R be a relation on N defined by \(x + 2 y = 8\). The domain of R is...

Let R be a relation on N defined by x+2y=8x + 2 y = 8. The domain of R is

A

{2, 4, 8}

B

{2, 4, 6, 8}

C

{2, 4, 6}

D

{1, 2, 3, 4}

Answer

{2, 4, 6}

Explanation

Solution

R be a relation on N defined by x+2y=8x + 2 y = 8 .

∴ R{(2,3);(4,2);(6,1)}R \{ ( 2,3 ) ; ( 4,2 ) ; ( 6,1 ) \}

Hence, Domain of R={2,4,6}R = \{ 2,4,6 \}.