Answers must be correct. Or else it will be flagged. All of these sub parts need to be answered with step by step process showing all work and reasoning.

DISCRETE STRUCTURES:

Answers must be correct. Or else it will be flagged. All of these sub parts need to be answered with step by step process showing all work and reasoning.

DISCRETE STRUCTURES:

1.a. Truth value of a propositional statement For this exercise, it is easier not to use truth tables. 1. Suppose that A ((BAC)-D) is false. What are the truth values of A, B, C, and D? 2. Suppose that (A-B) v (CA (DAE)) F) is false. What are the truth values of A, B, C, D, E, and F? 1.b. Logical equivalence Prove the equivalences below without using truth tables. Instead, use the rules of logical equivalence given in class. Justify your reasoning. 1.c. Inference Formalize the following argument and show that it is valid. If Jose took the jewellery or Mrs. Krasov lied, then a crime was committed. Mr. Krasov was not in town. If a crime was committed, then Mr. Krasov was in town. Therefore Jose did not take the jewellery