Question

Given the conditional statement "If it is January, then it is winter in the United States," which is true?

A) The Converse Of The Conditional
B) The Inverse Of The Conditional
C)The Contropositive Of The Conditional
D) Not Here

Answer 1

Let p and q be statements. Then\[p\implies q\]is a conditional statement. It is a fact (you can check it using a truth table) that the contrapositive of a conditional statement is equivalent to the statement, that is,\[p\implies q\iff\neg q\implies\neg p.\]