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Questions and Answers
Which law is used to rewrite the statement ~p ∨ q → r ∨ ~q?
Which law is used to rewrite the statement ~p ∨ q → r ∨ ~q?
- Commutative law of ∧
- Associative law of ∨
- Implication law (correct)
- De Morgan's law
What is the equivalent form of p→q using De Morgan's law?
What is the equivalent form of p→q using De Morgan's law?
- ~p ∨ q
- p ∧ ~q
- ~(p ∧ ~q) (correct)
- p ∨ ~q
Which of the following is a tautology?
Which of the following is a tautology?
- p → ~(p→q)
- ~(p→q) → p (correct)
- ~(p→q) ∧ p
- p ∧ ~(p→q)
If p→q is false, what is the truth value of ~p → q?
If p→q is false, what is the truth value of ~p → q?
What is the equivalent form of (p→r)↔(q →r)?
What is the equivalent form of (p→r)↔(q →r)?
What is the equivalent form of p→q using the implication law?
What is the equivalent form of p→q using the implication law?
If p→q is false, what is the truth value of p ∨ q?
If p→q is false, what is the truth value of p ∨ q?
What is the equivalent form of ~(p→q) using the implication law?
What is the equivalent form of ~(p→q) using the implication law?
What is the equivalent form of (p→r)↔(q →r) using the implication law?
What is the equivalent form of (p→r)↔(q →r) using the implication law?
Is the argument 'An interesting teacher keeps me awake. I stay awake in Discrete Mathematics class. Therefore, my Discrete Mathematics teacher is interesting.' valid?
Is the argument 'An interesting teacher keeps me awake. I stay awake in Discrete Mathematics class. Therefore, my Discrete Mathematics teacher is interesting.' valid?
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