Does the conclusion of the first conditional statement match the hypothesis of the second conditional statement?
If you get an A on your math test, then you can watch your favorite actor.
Practice makes perfect
According to the Law of Syllogism, we know the following.
&1. If hypothesis, then conclusion q. [0.5em]
&2. If hypothesis q, then conclusion r.
&3. If hypothesis p, then conclusion r.
The two conditional statements we have been given allow us to write a third conditional statement using the Law of Syllogism.
&1. If you get an A on your math test,
&then you can go to the movies. [0.5em]
&2. If you go to the movies,
&then you can watch your favorite actor. [0.5em]
&3. If you get an A on your math test,
&then you can watch your favorite actor.
