Answer the following questions: (a) Show that the following is a tautology by using truth table...

Answer the following questions: (a) Show that the following is a tautology by using truth table and using list of equivalences. (This problem should be solved using 2 different methods mentioned above). ((¬p −→ q) ∧ (¬p −→ ¬q)) −→ p (b) Show that the compound propositions are logically equivalent, by using truth table and using list of equivalences. ¬p ∨ (r −→ ¬q) and (¬p ∨ ¬q) ∨ ¬r (c) Show that the propositions ¬p ∨ (¬r ∨ q) and r −→ (p −→ q) are logically equivalent using the method of your choice.

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Colby Messinger answered 2 years ago

Question 1. Answer the following questions by making a truth table. Be sure to explain what...

Question 1. Answer the following questions by making a truth table. Be sure to explain what feature of the truth table you’ve drawn justifies your answer. (That is, indicate which part, or parts, of the table show what the answer to the question is and why) a) Is ¬P, P ↔ Q, P → Q a logically consistent set of sentences? b) Is A ∧ (B ∨ C), ¬((A ∨ B) ∧ C) a logically consistent set of sentences? c)...

1. write a truth table using this symbol: --> 2. write the inputs for the truth...

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Part #1 Prove the following by using a Truth Table: x + !xy = x +...

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3. Price is $45. Using the information provided in the table answer the following questions. a)...

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