Question $1$: $(10$ points$)$

Consider the following English sentence and answer the questions:

$"$If John studies and does not waste time, then he will pass the class and get a good mark. John did not get a good

mark."

a$)(5$ points$)$ Define the primitive statements and express the above paragraph symbolically and simplify it as

much as possible. Express the simplified version in good English;

b$)(5$ points$)$ Does the above statement imply that John did not pass the class? Justify your answer.