Write an equivalent sentence for the statement.
-If you are mistaken then you are wrong, and if you are wrong then you are mistaken. (Hint: Use The fact that (p → q) ∧ (q → p) is equivalent to p ↔ q.)
A) You are mistaken or you are wrong.
B) You are mistaken and wrong.
C) You are mistaken if and only if you are wrong.
D) You are mistaken if you are wrong.

Question

Quizplus · Accepted Answer

The given statement establishes a bidirectional condition between being mistaken and being wrong, implying that one occurs if and only if the other does. This is directly represented by the logical equivalence of $p \leftrightarrow q$, making option C the correct rephrasing.

Write an Equivalent Sentence for the Statement