If $\mathrm{R}=\left\{\right(\mathrm{x},\mathrm{y})$ : x is wife of y}, then R is

Here, R is not reflexive; as x cannot wife of x, R is not symmetric, as if x is wife of y, then y is husband (not wife) of x and R is transitive as transitivity is not

contradicted in this case. Whenever $(x,y)\in R$, then $(\mathrm{y},\mathrm{z})\notin \mathrm{R}$ for any z as if x is wife of y, then y is a male and a male cannot be a wife.