Determine whether the statement is a self-contradiction, an implication, a tautology (that is not also an implication), or none of these.
-$$( q \wedge p ) \leftrightarrow \sim ( p \wedge q )$$
A) Tautology
B) Self-contradiction
C) Implication
D) None of these

Question

Quizplus · Accepted Answer

The statement is a self-contradiction because $(q \wedge p)$ and $\sim(p \wedge q)$ cannot both be true at the same time. The left side affirms that both $p$ and $q$ are true, while the right side negates this assertion, making the statement always false.

Determine Whether the Statement Is a Self-Contradiction, an Implication, a Tautology