Let p represent the statement, "Jim plays football", and let q represent the statement "Michael plays basketball". Convert the compound statement into symbols.
-Jim does not play football and Michael does not play basketball.
A) $\sim ( p \wedge q )$
B) $\sim p \wedge q$
C) $\sim \mathrm { p } \mathrm {} \vee \sim \mathrm { q }$
D) $\sim \mathrm { p } \wedge \sim \mathrm { q }$

Question

Let p represent the statement, "Jim plays football", and let q represent the statement "Michael plays basketball". Convert the compound statement into symbols.
-Jim does not play football and Michael does not play basketball. 
A) $\sim ( p \wedge q )$
B) $\sim p \wedge q$
C) $\sim \mathrm { p } \mathrm {} \vee \sim \mathrm { q }$
D) $\sim \mathrm { p } \wedge \sim \mathrm { q }$

Quizplus · Accepted Answer

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

Let P Represent the Statement, "Jim Plays Football", and Let ∼(p∧q)\sim ( p \wedge q )∼(p∧q)

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