1. Which of the following sentences are propositions? What are the truth values of those that are propositions? a. 2 + 3 = 5 b. x+2 -11 c. Answer this question d. What time is it? e. The moon is made of green cheese f. Paris is the capital of Germany g. Nobody goes to the hotel, it is too crowded.

14.

A. Consider the statements below and decide whether they are propositions or not, explain your answer. Determine the truth value of the Propositions. 1. The sun rises in the east and sets in the west. 2. x + 5 = 7 3. Jacquiline Kennedy was the president of The Republic of the Philippines and discrete math course is not important in college. 4. Is it hot outside? 5. x is greater than 2.

answer 1, 2, 3

Let p, q, and r be the propositions p: You do every exercise in the book. q. You miss the final examination. r. You pass the course. Which of the following is an expression of the propositionr (p A 79) as an English sentence?

The answer provided did not use the rules of inference to prove that the propositions are tautologies which is what the original question asked. Can the answer to this problem be provided by using the rules of inference?

m2.1 -4

1. Determine whether or not the following statements are propositions. If they are not, explain why. yo a. There is an integer x such that x² = 9. b. Please solve the equation y = 2x + 4. c. Why do we have to study Logic? d. 5+5=15 e. It is not true that 1 is a prime number. 2. Which of the following are propositions? a. Every set has an element. od b. The smallest perfect number is 28. c. Is 1.5 an irrational number? d. Please find the popular approximation of pi. own lo nosit bas st:2 tus In most 02801 tspigol 1x bajoome 100 PA e. Can you extract the root of -25? bana 3. Consider the following propositions: p: 2 is the smallest prime. q: 6 is a perfect square. Use logical connectives to represent the proposition "2 is the smallest prime but 6 is not a perfect square."