Maximum score 21 (3 per part) Construct a truth table for each of the following

Question

Maximum score 21 (3 per part) Construct a truth table for each of the following tilde (p and q); p and tilde p; (p or q) or (tilde p); tilde [(p or q) and (tilde p or tilde q)] tilde (p or q) tilde (q or p); tilde (p or q) and p; tilde (p vebar q) Maximum score 24 (8 per part) Construct a truth table for each of the following (p or r) and (p doubleheadarrow q); (p or tilde q) and r; ((p and (tilde q) and (q or r) Maximum score 15 (3 per part) Let p and q be the propositions. p: we are going to make a cheaper computer; q: we are going to lose business. Translate the following into symbolic form. If we make a cheaper computer, then we will lose business. If we lose business, then we will make a cheaper computer. We will lose business if and only if we make a cheaper computer. If we lose business, then we will not make a cheaper computer. It is not the case that we will lose business if and only if we do not make a cheaper computer. Maximum score 24 (4 per part). Let p, q and r be the propositions p: you get an A on the final exam of a course. q: you do every homework assigned in the course. r: you get an A in the course. Write the following propositions using p, q, and r and logical connectives. You get an A in the course, but you do not do all homework assigned. You get an A on the final; you do all homework assigned, and get an A in the course. To get an A in the course, it is necessary for you to get an A on the final examination. You get an A on the final, but you' don't do every homework assigned; nevertheless, you get an A in the course. Getting an A on the final and doing all homework assigned is sufficient for getting an A in the course. You will get an A in the course if and only if you either do all homework assigned or you get an A on the final.

Explanation / Answer

3-

P Q P^Q ~(P^Q) 0 0 0 1 0 1 0 1 1 0 0 1 1 1 1 0

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