Determine if the following arguments are valid. First, translate the statements to symbolic form, construct the statement that include all the pieces of the argument, and then use truth tables to test...

Determine if the following arguments are valid. First, translate the statements to symbolic form, construct the statement that include all the pieces of the argument, and then use truth tables to test this statement.

(a) It is not snowing. If it is snowing then I will bring my toque. Therefore I will bring my toque.

(b) If it purrs, it’s a cat. If it’s a cat, I’m allergic to it. If it purrs, I’m allergic to it.

(c) If you’re good, you’ll be rewarded. You aren’t good. Therefore you aren’t rewarded.

(d) Either this milk has soured, or I have the flu. The milk has not soured. Therefore I have the flu.