Let $\backslash$sigma $$p$\_1$ S q$\_1$ and $\backslash$sigma $$p$\_2$ S q$\_2.$ Does $\backslash$sigma $$p$\_1$p$\_2$ S q$\_1$q$\_2?$ Justify your answer briefly. Does $\backslash$sigma $$p$\_1$p$\_2$ S q$\_1$q$\_2?$ Justify your answer briefly. $($Recall that $(\backslash$sigma $$p$$q$)(\backslash$sigma $$p$\backslash$sigma $$q$)$ and $(\backslash$sigma $$p$$q$)(\backslash$sigma $$p$\backslash$sigma $$q$).)$