Prove invalidity by the method of assigning truth values to the simple statements involved $($i$.$e$.,$ abbreviated truth tables$).$ Use the letters in the order in which they are listed.

If either Jordan or Algeria joins the alliance, then if either Syria or Kuwait boycotts it then although Iraq does not boycott it Yemen boycotts it$.$ If either Iraq or Moroces does not boycott it$,$ then Egypt will join the alliance. Therefore if Jordan joins the alliance, then if Syria boycotts it then Egypt will join the alliance. $($J$,$ A$,$ S$,$ K$,$ I, Y$,$ M$,$ E$)$