## Thinking Mathematically (6th Edition)

Let p and q represent two simple statements. p : I know English. q : I can go abroad. r : I will be able to study in abroad. Therefore, Transitive reasoning form such that for any two simple statements there exists a common conclusion. Its transitive reasoning form is: \begin{align} & \underline{\begin{align} & p\to q \\ & q\to r \\ \end{align}} \\ & \therefore p\to r \\ \end{align} Hence, the original argument in words for the transitive reasoning is if I can go abroad, then I will be able to study in abroad.