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 plays basketball.
A) $ \sim ( \mathrm { p } \wedge \mathrm { q } )$
B) $p \wedge q$
C) $\sim p \wedge q$
D) $\sim \mathrm { p } \vee \mathrm { q }$

Question

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 plays basketball. 
A) $ \sim ( \mathrm { p } \wedge \mathrm { q } )$
B) $p \wedge q$
C) $\sim p \wedge q$
D) $\sim \mathrm { p } \vee \mathrm { q }$

Quizplus · Accepted Answer

The correct symbolic representation is $\sim p \wedge q$, which translates to "Jim does not play football and Michael plays basketball."

Let P Represent the Statement, ʺJim Plays Footballʺ, and Let ∼(p∧q) \sim ( \mathrm { p } \wedge \mathrm { q } )∼(p∧q)

Let P Represent the Statement, ʺJim Plays Footballʺ, and Let $\sim ( \mathrm { p } \wedge \mathrm { q } )$