(Solved) : 5 S Time Unwind Playing Pok Mon Squad Friends Brock Ash Giovanni Misty Sit Debate Pok Mon Q44133719 . . .
(5) It’s time to unwind by playing Pokémon. You and your #squad (your friends: Brock, Ash, Giovanni, and Misty) sit down and debate which Pokémon you should bring on your shared team, which must contain anywhere from 1 to 3 monsters. Ash just loves to catch ’em all, so he’s good with anything. The rest are quite particular. (i) Misty insists that we bring Mudkip and definitely not bring Blastoise. (ii) Giovanni really doesn’t want us to bring Sandshrew. (iii) You think that if the team has Blastoise, we shouldn’t bring Mudkip. (iv) Brock thinks that we should bring Mudkip if and only if we also bring Pikachu or Sandshrew. Can we meet all of their standards? Let T(2) represent the propositional function “monster 2 is on our team,” where the domain of 2 is the 4 possible Pokémon we have available: Mudkip, Blastoise, Sandshrew, and Pikachu (or M, B, S, and P). (a) Translate each of the 4 statements (i)-(iv) into a proposition, using the logical notation covered in class. (b) Is it possible to create a team under these conditions? If this problem is satisfiable, what is that team or those teams? If not, give a clear written argument explaining why or why not. Do not use a truth table. Show transcribed image text (5) It’s time to unwind by playing Pokémon. You and your #squad (your friends: Brock, Ash, Giovanni, and Misty) sit down and debate which Pokémon you should bring on your shared team, which must contain anywhere from 1 to 3 monsters. Ash just loves to catch ’em all, so he’s good with anything. The rest are quite particular. (i) Misty insists that we bring Mudkip and definitely not bring Blastoise.
(ii) Giovanni really doesn’t want us to bring Sandshrew. (iii) You think that if the team has Blastoise, we shouldn’t bring Mudkip. (iv) Brock thinks that we should bring Mudkip if and only if we also bring Pikachu or Sandshrew. Can we meet all of their standards? Let T(2) represent the propositional function “monster 2 is on our team,” where the domain of 2 is the 4 possible Pokémon we have available: Mudkip, Blastoise, Sandshrew, and Pikachu (or M, B, S, and P). (a) Translate each of the 4 statements (i)-(iv) into a proposition, using the logical notation covered in class. (b) Is it possible to create a team under these conditions? If this problem is satisfiable, what is that team or those teams? If not, give a clear written argument explaining why or why not. Do not use a truth table.
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