Question

Discrete Math

1. Write the compound statements  in disjunctive normal form. (Since they are logically equivalent, they have the same disjunctive normal form, so you only need to give one answer.

  (p → q) ∧ (¬r → q) and (p ∨ ¬r) → q

2. Consider the premises:

• It is not snowing today and it is windy;

• School will be canceled only if it is snowing today;

• If school is not canceled today, then our study group will meet;

• If I did not get A on the exam, then our study group did not meet.

Do these premises imply the conclusion “I will get A or B on the exam”? If so, explain why by using the rules of inference. If not, explain why not.

Answer 1