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

Multiple Choice

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) $\sim ( \sim \mathrm { p } \vee \sim q )$