For the argument below, perform the following
a) Translate the argument into symbolic form.
b) Use a truth table to determine whether the argument is valid or invalid. (Ignore differences in past, present, and future tense.)
My clothes are too small and I need new clothes.
If I need new clothes, then I'll go buy some new clothes.
\therefore If I buy some new clothes, then my clothes are too small
a) Let $p$ be \"My clothes are too small,\" let $q$ be \"I need new clothes,\" and let $r$ be \"I'll go buy some new clothes.\" What is the argument in symbolic form?
A. $p \rightarrow q$
$q \rightarrow r$
$\therefore r \rightarrow p$
B. $p \rightarrow q$
$q \rightarrow r$
$\therefore p \rightarrow r$
C. $p \land q$
$q \rightarrow r$
$\therefore r \rightarrow p$
D. $p \land q$
$q \rightarrow r$
$\therefore r \rightarrow p$
b) Is the given argument valid or invalid?
A. The argument is valid because the truth table indicates the conditional statement to be a tautology