compound statements into symbols

Question

let p represent the statement, "Jim plays football, and let q represent "Michael plays basketball". convert the compound statement into symbols

 

7) Jim does not play football and Michael does not play basketball

 

8) Jim does not play football and Michael plays basketball

Answer 1

"Jim does not play football and Michael does not play basketball."

 

This means "not p and not q," which is written (¬p)∧(¬q).

 

 

"Jim does not play football and Michael plays basketball."

 

This means "not p and q," which is written (¬p)∧q.