$$2\mathrm{.}13$: EXERCISES

$29$

$$2\mathrm{.}13$: EXERCISES

$2\mathrm{.}13$ Part $1$

Using the given sentence letters, translate each of the following sentences.

B: Brian drives a BMW$.$

M: Michael drives a Mercedes Benz.

P: Paul drives a Porsche.

$1$ Paul does not drive a Porsche.

$2$ Brian drives a BMW only if Michael drives a Mercedes Benz.

$3$ If Michael doesn't drive a Mercedes Benz or Paul doesn't drive a Porsche, then Michael doesn't drive a Mercedes Benz and Paul doesn't drive a Porsche.

$4$ Unless Paul drives a Porsche, either Michael drives a Mercedes Benz or Brian drives a BMW$.$

$5$ Brian drives a BMW if and only if either Paul doesn't drive a Porsche or Michael drives a Mercedes Benz.

$6$ Paul drives a Porsche; Brian, however, drives a BMW$.$

$7$ Michael drives a Mercedes Benz or Brian drives a BMW$,$ but it is not true that Michael drives a Mercedes Benz and Brian drives a BMW$.$

$8$ If Paul drives a Porsche, Michael drives a Mercedes Benz if Brian drives a BMW$.$

$9$ Provided that Michael drives a Mercedes Benz, Paul drives a Porsche only if Brian drives a BMW$.$

$10$ If it is false that Paul drives a Porsche and Michael drives a Mercedes Benz, then either Paul drives a Porsche and Brian does not drive a BMW or Michael drives a Mercedes Benz and Brian does not drive a BMW$.$