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CGP EDU Academic Team
Published on: August 14, 2026
Let R be a relation on the set N be defined by {(x, y)| x, y ∈ N, 2x + y = 41}. Then prove that R is neither reflexive nor symmetric and nor transitive.
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2x + x = 41 ⇒ x = 
∴ R is not reflexive
2x + y = 41 
2y + x = 41 ∴ R is not symmetric
2x + y = 41 and 2y + z = 41 ⇒ 4x – z = 41 ⇒ (x, z) R
∴ R is not transitive
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