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

Question

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

Quizplus · Accepted Answer

The statement negates the conjunction of the negations of both p and q, which is accurately represented by $ \sim ( \sim p \wedge \sim q ) $.

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

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