If $\mathrm{R}_{10} \mathrm{R}_2$ are symmetric relations on a set A then which of the following is

Question

If $\mathrm{R}_{10} \mathrm{R}_2$ are symmetric relations on a set A then which of the following is /are true ? (i) $R_1 \cup R_2$ is symmetric (ii) $R_1 \cap R_2$ is symmetric (iii) $R_1-R_2$ is symmetric (iv) $R_1 \Delta R_2$ is symmetric

Professor PC Thomas Classes · Answer

If $R_1$ and $R_2$ are symmetric, the union, intersection, difference, and symmetric difference of symmetric relations all yield symmetric relations.