Let p represent the statement, "Jim plays football", and let q represent "Michael plays basketball". Convert the compound statements into symbols.

Jim does not play football and Michael plays basketball.

~p ^ q
~p v q
p ^ q
~(p ^ q)

Question

Let p represent the statement, "Jim plays football", and let q represent "Michael plays basketball". Convert the compound statements into symbols.

Jim does not play football and Michael plays basketball. 
  
       ~p ^ q 
       ~p v q 
       p ^ q 
       ~(p ^ q)

shane_b · Answer

"Jim does not play football"
Since p = "Jim plays football" then you must negate that to get ~p.

"Michael plays basketball"
Since q = "Michael plays basketball" then it matches the statement and q does not need to be negated.

The sentence has those two statements separated by "and" so you must "and" these values together to get:
~p^q