Let R be a relation on the set N be defined by {(x, y)| x, y ∈ N, 2x + y = 41}. Then R is

2x + x = 41          ⇒x = 413∉NTherefore R is not reflexive2x + y = 41    ⇒ 2y + x = 41Therefore R is not symmetric2x + y = 41     and    2y + z = 41    ⇒4x - z = 41  ⇒ (x, z) ∉RTherefore, R is not transitive.