|Que.||"If my computations are correct and I pay the electric bill, then I will run out of money. If I don't pay the electric bill the power will be turned off. Therefore, if I don't run out of money and the power is still on then my computations are incorrect."
Convert this argument into logical notations using the variables c, b, r, p for propositions of computations, electric bills, out of money and the power respectively. (Where ¬ means NOT)
|a.||if (c ∧ b) → r and ¬b → ¬p, then (¬r∧p)→¬c|
|b.||if (c ∨ b) → r and ¬b → ¬p, then (r∧p)→c|
|c.||if (c ∧ b) → r and ¬p → ¬b, then (¬r ∨ p)→¬c|
|d.||if (c ∨ b) → r and ¬b → ¬p, then (¬r∧p)→ ¬c|
|Answer:if (c ∧ b) → r and ¬b → ¬p, then (¬r∧p)→¬c|