please answer all questions.

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1. [1 point If p is true and q is false, then qp will be true a. Yes b. False 2. [1 point] How many rows will appear on the truth table appears on the (prt)(pq) a. 4 b. 16 c. 8 d. 10 3. [1 point| Given the conditional, pq. Which of the following is its converse. a. qp b. qp c. 4p7q d. 1/p1/q 4. [1 point] What rule of inference is used in the following argument? Premises: "If it is rainy, then the pool will be closed. It is rainy. "It is rainy Conclusion: "The pool is closed". a. Hypothetical Syllogism b. Modus Tollens c. Modus Ponens d. Disjunctive Syllogism 5. Let Q(x,y) be the statement " x+y=0," Assume that U is the real numbers. Then xyQ(x,y) is false, but yxQ(x,y) is true. a. True b. False PART 2 (STRUCTURED QUESTIONS) Show all your steps to get full points 6. [4 points) Determine the truth value of each of these statements if the domain for all variables consists of all integers. a) n(n20) b) 3n(n22) c) n(n2n) d) 3n(n2