Use rules of inference to show that the hypothesis, 4. And actresses this implication of this one of us. Identify the hypothesis and conclusion of each statement.If it rains on Monday, then I will stay home. Add your answer and earn points. And then if we simplify it is because either both are and, uh, are true. Therefore, Jerry is a mathematics major.c) If it is rainy, then the pool will be closed. Trying to work a rules of inference problem and stuck at the hypothesis. Therefore, it did not snow today.e) If I go swimming, then I will stay in the sun too long. For each of these sets of premises, what relevant conclusion or conclusions can be drawn? If a valid conclusion is possible, write it. (Lesson $2-2$ )If the fire alarm rings, then everyone should exit the building. Use rules of inference to show that if $\forall x(P(x) \rightarrow(Q(x) \wedge$ $S(x) ) )$ and $\forall x(P(x) \wedge R(x))$ are true, then $\forall x(R(x) \wedge S(x))$ is true. Give the reason for each step as you show that b in concluded. Therefore, if I work all night on this homework, I will understand the material solution, Whoops, there might be a typo in your email. Here's the Q: Use rules of inference to show that the hypothesis "If it does not rain or if it is not foggy, then the sailing race will be held and the lifesaving demonstration will go on," "If the sailing race is held, then the trophy will be awarded," and "The trophy was not awarded" imply the conclusion "It rained." P: Anna Is Baking A Cake Yeah, they also have. Use the Law of Syllogism to determine whether a valid conclusion can be reached from each set of statements. You also have that? For example, a reason for a step might be: "Modus ponens using #2 and #3" Hypotheses given: tavb cvd -an-C -dne 1 Answer to Use rules of inference to show that the hypotheses “Randy works hard,” “If Randy works hard, then he is a dull boy,” and “If Randy is a dull boy, then he will not get the job” imply the conclusion “Randy will not get the job.” Socrates is a man. If you interview for a job, then you will be offered that job. So Reese was used. If I stay in the sun too long, then I will sunburn. Each reason should be the name of a rule of inference and include which numbered steps are involved. EMAILWhoops, there might be a typo in your email. Use rules of inference to show that the hypotheses “Randy works hard,” “If Randy works hard, then he isa dull boy,” and “If Randy is a dull boy, then he will not get the job” imply the conclusion “Randy will not get the job.”, Use resolution to show that the hypotheses “It is not raining or Yvette has her umbrella,” “Yvette does not have her umbrella or she does not get wet,” and “It is raining or Yvette does not get wet” imply that “Yvette does not get wet.”. Yes. The sailing race is held, so we have that. Use rules of inference to show that if $\forall x(P(x) \vee Q(x))$ $\forall x(\neg Q(x) \vee S(x)), \quad \forall x(R(x) \rightarrow \neg S(x)),$ and $\exists x \neg P(x)$ are true, then $\exists x \neg R(x)$ is true. This site is using cookies under cookie policy. “No man is an island. a) “If I play hockey, then I am sore the next day.” “I use the whirlpool if I am sore.” “I did not use thewhirlpool.”b) “If I work, it is either sunny or partly sunny.” “I worked last Monday or I worked last Friday.” “It was not sunny on Tuesday.” “It was not partly sunny on Friday.”c) “All insects have six legs.” “Dragonflies are insects.” “Spiders do not have six legs.” “Spiders eat dragon-flies.”d) “Every student has an Internet account.” “Homer does not have an Internet account.” “Maggie has an Internet account.”e) “All foods that are healthy to eat do not taste good.” “Tofu is healthy to eat.” “You only eat what tastes good.” “You do not eat tofu.” “Cheeseburgers are not healthy to eat.”f ) “I am either dreaming or hallucinating.” “I am not dreaming.” “If I am hallucinating, I see elephants running down the road.”.