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

question 84

Multiple Choice

Let p represent the statement, ʺJim plays footballʺ, and let q represent ʺMichael plays basketballʺ. Convert the compound statements 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) \(\sim \left( \sim p _ { \vee } \sim q \right)\)
• C) \(\sim \mathrm { p } \wedge \sim \mathrm { q }\)
• D) \(\sim ( \sim \mathrm { p } \wedge \sim \mathrm { q } )\)