## Thinking Mathematically (6th Edition)

Let p and q represent two simple statements. p : I know English. q : I can go abroad. Therefore, It is a conditional statement going abroad dependent on a condition when I know English. Direct reasoning form contains “if p then q”. Its direct reasoning form is: \begin{align} & \underline{\begin{align} & p\to q \\ & p \\ \end{align}} \\ & \therefore q \\ \end{align} Therefore, the original argument in words for the direct reasoning form is if I know English then I can go abroad. Hence, the assumed arguments in the direct reasoning form is: “if I know English then I can go abroad”.