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 or Michael does not play basketball.
"Jim does not play football" is a negation of "Jim plays football," so the first part is ~p. The symbol for "or" is V. Lastly, "Michael does not play basketball" is a negation of "Michael plays basketball." Thus, the third part would be ~q.
~p V ~q
To convert the compound statement into symbols, we first need to determine the logical operators involved.
The compound statement "Jim does not play football or Michael does not play basketball" involves the logical operator "or" and the negation "not".
Let's assign the following symbols:
p: Jim plays football
q: Michael plays basketball
Now, let's break down the statement and convert it into symbols:
Jim does not play football: ~p (negation of p)
Michael does not play basketball: ~q (negation of q)
Using the logical operator "or", we can combine the two statements:
~p or ~q
Therefore, the converted compound statement is: ~p or ~q.