Solution
= Solution
\b[False.] Use the same two <equivalence relations> as in part (ii). They are both <symmetric relations>. The composite contains $1S3$, since $1R_12$ and $2R_23$. It does not contain $3S1$, as shown there. Hence <composition of relations> need not preserve <symmetry of a relation>, even when both factors are also <reflexive> and <transitive>.