Let p represent the statement Jim plays football and let q r

Let p represent the statement \"Jim plays football\", and let q represent the statement \"Michael plays basketball\". Convert the following compound statement into symbols: Jim does not play football and Michael does not play basketball.

Solution

p represents \"Jim plays football\" and
q represents \"Michael plays basketball.\"

I don\'t know what symbol system you\'re using. (There are several.)
In case you need to translate, I will use
~ for \"not\"
^ for \"and\"
v for \"or\"


Jim does not play football and Michael does not play basketball .
~p ^ ~q


It is not the case that Jim does not play football and Michael does not play basketball

~(~p ^ ~q)


Jim does not play football or Michael does not play basketball

~p v ~q