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."

Q: For the simple statements p: There is a fire in the fireplace. q: The house is cold. Match each…

A: There is no fire in the fireplace if and only if the house is cold. There is no fire in the…

Q: Which arrow correctly fills in the blank in the logical statements below? x=0 x² (x-3) = 0 C.3=27.…

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Q: Use rules of logic/ inference to prove the following argument. List each rule and proposition used…

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Q: 1. Let p and q be the propositions p:I study for the exam this week. q:I finish the quiz. r:I got a…

A: The implication if p then q is given by negation of p union q p→q=~p v q So  A)  ~~q v ~r q∨~r So…

Q: 27. Determine the truth value for the given statement when p is true and q is true. Choose the…

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Q: Explain the difference between the following statements. No student passed the exam. Some students…

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Q: Construct a truth table for the proposition and determine whether the statement is a contingency, a…

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