Let p represent the statement, "Jim plays football", and let q represent the statement "Michael plays basketball". Convert the compound statement into symbols.
-It is not the case that Jim does not play football and Michael does not play basketball.
A) $\sim ( p \vee q )$
B) $\sim ( \sim p \wedge \sim q )$
C) $\sim \mathrm { p } \wedge \sim \mathrm { q }$
D) $\sim ( \sim \mathrm { p } \vee \sim q )$

Question

Let p represent the statement, "Jim plays football", and let q represent the statement "Michael plays basketball". Convert the compound statement into symbols.
-It is not the case that Jim does not play football and Michael does not play basketball. 
A) $\sim ( p \vee q )$
B) $\sim ( \sim p \wedge \sim q )$
C) $\sim \mathrm { p } \wedge \sim \mathrm { q }$
D) $\sim ( \sim \mathrm { p } \vee \sim q )$

Quizplus · Accepted Answer

The statement "It is not the case that Jim does not play football and Michael does not play basketball" translates to the negation of both statements being false together, which is $\sim ( \sim p \wedge \sim q )$.

Let P Represent the Statement, "Jim Plays Football", and Let ∼(p∨q)\sim ( p \vee q )∼(p∨q)

Let P Represent the Statement, "Jim Plays Football", and Let $\sim ( p \vee q )$