Inference question in discrete mathematics. Use the example solution in the picture to solve this inference question.Given the premises:If the steak is well done, it’s overcooked.If the steak is overcooked, the fire alarm will go off.Either the batteries have been changed or the fire alarm will not go off.The batteries have only been changed if the ladder is in the room.The ladder is not in the room.Conclude that the steak is not well done.These premises don’t make sense in the real world. Why?How can you change the premises so that they make sense in the real world? (They don’t have to end up perfectly correct, but they need to avoid the obvious problems you uncover in part B.) (p ^ (pv ¬r v q)) V ((q^r) V (q^r)) (p^(pv¬rva)) V (q^(rV¬r))→(p^ (pv-rVq)) V (q^T)→(p^ (pv¬rVq)) va→(p^ (pv (rVq))) Va→pVqp Vqרר←→-p-qdistributioninverseidentityassociativityabsorptiondouble negationimplication identity

To show that the steak is not well done, we can use proof by contradiction. Suppose that the steak…

Answered: Inference question in discrete…

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Inference question in discrete mathematics. Use the example solution in the picture to solve this inference question.

Given the premises:
1. 1. If the steak is well done, it’s overcooked.
  2. If the steak is overcooked, the fire alarm will go off.
  3. Either the batteries have been changed or the fire alarm will not go off.
  4. The batteries have only been changed if the ladder is in the room.
  5. The ladder is not in the room.

Conclude that the steak is not well done.

These premises don’t make sense in the real world. Why?
How can you change the premises so that they make sense in the real world? (They don’t have to end up perfectly correct, but they need to avoid the obvious problems you uncover in part B.)

(p ^ (pv ¬r v q)) V ((q^r) V (q^r)) (p^(pv¬rva)) V (q^(rV¬r))
→(p^ (pv-rVq)) V (q^T)
→(p^ (pv¬rVq)) va
→(p^ (pv (rVq))) Va
→pVq
p Vqרר←
→-p-q
distribution
inverse
identity
associativity
absorption
double negation
implication identity

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