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Question: 7 pts d question 17 negate the statement vyax xgty...

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7 pts D Question 17 Negate the statement vyax( (x>y) -* (x+y> 0)) none of these.D Question 16 5 pts Match each argument to the argument form. There is also one fallacy. I can clean my house by myself or hire cleaners. If I clean myself, I save money. If I hire cleaners, I can read a book. Therefore, I save money, or I can read a book. Choose ] If the Flash restrained his enemies first instead of taunting them, he would always have the advantage of surprise. Having the advantage of surprise means winning every fight. Therefore, if the Flash restrained his enemies first instead of taunting them, he would win every fight. Choose ] If the sun is shining, Im happy. Im unhappy. IChoose Therefore, the sun is not shining. If the sun is shining, Im happy. The sun is IChoosel not shining. Therefore, Im unhappyQuestion 14 10 pts What is the negation of All MAT 243 students know logic? All students who have not taken MAT 243 know logic There is student who has not taken MAT 243 and does not know any other subject than logic. There is a student who has not taken MAT 243 and knows logic. There is at least one MAT 243 student who doesnt know logic. No MAT 243 students know logic. No other students besides MAT 243 students know logic All MAT 243 students do not know logic D Question 15 10 pts True or false? vx (x-2.x-3 x-0). The domain of discourse is the real numbers. True FalseQuestion 12 3 pts True or false? зу vx ((2-1)(y-3)-0), where the domain of discourse is the set of positive integers. True ○ False Question 13 5 pts Let B and H be predicates defined on the set of all animals by B-is a bunny and H hops Use quantifiers and the given predicates to express the following statement Every bunny hops but not every animal that hops is a bunny None of these vx(B(x) H(x)) A vx (H(x) B(x)Question 11 5 pts Given the following conditional statement if mn is odd, then n is odd and m is odd Find the converse, inverse, contrapositive and the negation of this statement by matching the correct term with the correct statement. If mn is even, then n is even or m is even. [Choose If n is even or m is even, then mn is even Choose ] mn is odd and n is even or m is even. [Choose ] If n is odd and m is odd, then nm is odd. Choose If m is even and n is even, then mn is even. Choose ]D Question 10 5 pts Check all true statements. Converse and contrapositive of a conditional are equivalent. O A conditional is equivalent to its inverse. Converse and inverse of a conditional are equivalent. A conditional is equivalent to its converse. A conditional is equivalent to its contrapositive Inverse and contrapositive of a conditional are equivalent.DQuestion 9 5 pts Let p I walk to school every day,q-l use the swimming pool and r I build cardiovascular health. Express the following statement as a combination of p.q and r and logic symbols. To build cardiovascular health, it is sufficient for me to walk to school every day or to use the swimming pool. None of these.Question 11 5 pts Given the following conditional statement if mn is odd, then n is odd and m is odd Find the converse, inverse, contrapositive and the negation of this statement by matching the correct term with the correct statement. If mn is even, then n is even or m is even. [Choose If n is even or m is even, then mn is even Choose ] mn is odd and n is even or m is even. [Choose ] If n is odd and m is odd, then nm is odd. Choose If m is even and n is even, then mn is even. Choose ]Question 8 5 pts Consider the statement If you smoke then you will get sick. Select which one of the following statements is NOT logically equivalent to that conditional above or select All of these statement are equivalent to if you smoke then you will get sick You will get sick only if you smoke. Smoking it is a sufficient condition for getting sick All of these statement are equivalent to if you smoke then you will get sick If you are not sick, then you did not smoke. Being sick is a necessary condition for smoking. You are not sick therefore you did not smoke.DQuestion 7 7 pts Consider the statements 1.(png) , ( p^ q ) 2. (p v q) (pv-q Both statements are contingencies. 1. is a contingency, 2. is a contradiction. 1. is a tautology, 2. is a contingency 1. is a tautology and 2. is a contradiction.7 pts Question6 Select which one of the following statements is logically equivalent to p(p- q) pv-q pv-qQuestion 5 5 pts Determine the converse of If f is differentiable, then f is continuous. If f is not differentiable, then f is not continuous. If f is continuous, then f is differentiable. O If f is not continuous, then f is not differentiable. If f is continuous, then f is not differentiable. If f is not differentiable, then f is continous.D Question 4 5 pts Find the inverse of If x> 0 and y<0, then xy <0. If-x<0 and -y>0, then -xy >0. Ifx <0 and y>0, then xy>0 Ifx s0 or y 2 0, then xy 2 0 If xy s0 then x s 0 or y 20 Ifx<0 and -y>0, thenxy>0. If x s 0 or y 2 0, then xy s O If x s0 and y 0, then xy 20 Ifx <0 or y> 0, then xy> 0.DI Question 3 5 pts What is the correct meaning of the expression p→qvr-s ? The expression has no unique meaning.4 pts DQuestion 1 True or false? if x 1, then 2x+3 2 is a proposition True False 7 pts DQuestion 2 True or false? a2 +b2c2 is a proposition. True False

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