Consider the statements: p it is hot, q: it is raining Which of the following symbols correctly represents the statement "It is raining if and only if it it...

Consider the statements: p it is hot, q: it is raining

Which of the following symbols correctly represents the statement "It is raining if and only if it it is cold"?

Answer Details

The statement "It is raining if and only if it is cold" can be written as "q if and only if \(\sim\)p". This is because the "if and only if" connector implies that both statements are true, so it is equivalent to saying "if it is raining, then it is cold" and "if it is cold, then it is raining". We can represent this statement using the "if and only if" symbol (\(\iff\)) as: q \(\iff\) \(\sim\)p Therefore, the correct option is (D) q \(\iff\) \(\sim\)p.