Let P Represent the Statement, ʺJim Plays Footballʺ, and Let $p \vee q$

Multiple Choice

Let p represent the statement, ʺJim plays footballʺ, and let q represent ʺMichael plays basketballʺ. Convert the compound statements into symbols.
-Jim does not play football and Michael does not play basketball.

A) $p \vee q$
B) $\sim \mathrm { p } \vee \sim \mathrm { q }$
C) $p \wedge q$
D) $\sim \mathrm { p } \wedge \sim \mathrm { q }$