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 does not play basketball.
a. p ⋀ q
b. p v q
c. ~p v ~q
d. ~p ⋀ ~q

Answer 1

The symbol for 'Jim does not play football and Michael does not play basketball' is d. ~p ∧ ~q, with ~ representing negation and ∧ representing AND.

Step-by-step explanation:

The correct symbol for the compound statement 'Jim does not play football and Michael does not play basketball,' given that p represents 'Jim plays football' and q represents 'Michael plays basketball', is d. ~p ∧ ~q. This is because the tilde (~) represents negation in logic and the wedge (∧) represents a logical AND. Therefore, ~p means Jim does not play football, and ~q means Michael does not play basketball. The statement encompasses both conditions at the same time, showing a conjunction (AND) of the two negations.