Determine whether the statements are logically equivalent.
-$\sim \mathrm { q } \wedge \mathrm { p }$ and $\sim \mathrm { q } \rightarrow \mathrm { p }$
A) Yes
B) $\mathrm { No }$

Question

Quizplus · Accepted Answer

The statements are not logically equivalent. The first statement, $\sim q \wedge p$, means "not q and p," which requires both "not q" and "p" to be true. The second statement, $\sim q \rightarrow p$, means "if not q then p," which is true either when "q" is false and "p" is true, or "q" is true regardless of "p." The truth tables for these statements would not match.

Determine Whether the Statements Are Logically Equivalent ∼q∧p\sim \mathrm { q } \wedge \mathrm { p }∼q∧p

Determine Whether the Statements Are Logically Equivalent $\sim \mathrm { q } \wedge \mathrm { p }$