Question 470968
"Jim plays football" is the statement p


"Michael plays basketball" is the statement q. So "Michael does not play basketball" is ~q



This means that "Jim plays football and Michael does not play basketball" translates to p ^ ~q where ^ is the "and" conjunction.



Finally, negate the entire thing (since it starts off with "It is not the case...") to get


~(p ^ ~q)


Now you could use De Morgan's Law to turn that into ~p V ~~q and then use double negation to get ~p V q