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In Exercises 43-54, write the argument using prupositional wffs (use the statement letters shown). Then, using propositional logic, including the rules in Tabie 1.14, prove that the argument is valid. 43. If the program is efficient, it executes quickly. Either the program is efficient, or it has a bug. However, the 44 If Jane is more popular, then she will be elected. If Jane is more popular, then Craig will resign. Therefore, 45. If chicken is on the menu, then dont order fish, but you should have either fish or salad. So, if chicken is 46. The crop is good, but there is not enough water. If there is a lot of rain or not a lot of sun, then there is 47. If the ad is successful, then the sales volume will go up. Either the ad is successful or the store will close. 48. If De Wayne is not tall then Jayden is not De Waynes brother. If DeWayne is tall then Trevor is DeWayne 49. Russia was a superior power, program does not execute quickly. Therefore, it has a bug. E, Q.B if Jane is more popular, she will be elected and Craig will resign. J, E, C on the menu, have salad. C,F.S enough water. Therefore, the crop is good and there is a lot of sun. C, W.R, S The sales volume will not go up. Therefore, the store will close. A, S, C brother. Therefore, if Jayden is DeWaynes brother, then Trevor is DeWaynes brother. D,J T not make an error, but if the army did not fail, then France was strong. Hence, the army failed and Russ and either France was not strong or Napoleon made an error. Napoleon d was a superior power. R, F.N, A

Course: Discrete Structures

Q48

Translate the argument to wff (well-formed formulas) using the variables specified at the end of Q48; Use propositional logic to prove the argument is valid (step-by-step applying Inference Rules)

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