Question

determine whether the statement is true or false. p ∨ q means p or q, but not both. a. the statement is true because the connective ∨ is an exclusive or, which means \one or the other, but not both.\ b. the statement is true because the connective ∨ is only used when one statement is true, ∧ is used when both are true c. the statement is false because the connective ∨ is an inclusive or, which means \either or both.\ d. the statement is false because the connective ∨ is the symbolic representation for \and\

Explanation:

The symbol $\vee$ in logic represents an inclusive - or. It means that $p\vee q$ is true when either $p$ is true, $q$ is true, or both $p$ and $q$ are true. It is not an exclusive - or which means "one or the other, but not both".

Answer:

C. The statement is false because the connective $\vee$ is an inclusive or, which means "either or both."