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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define tautology and provide an example.
💡 Hint: Think of an expression that yields true regardless of p’s value.
Question 2
Easy
What does logical equivalence mean?
💡 Hint: Consider statements with identical outcomes.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the definition of logical equivalence?
💡 Hint: Think about identical outcomes in different expressions.
Question 2
A statement that is always true is called a?
- Contradiction
- Tautology
- Contingency
- None of these
💡 Hint: Consider an example that never changes its outcome.
Solve 3 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove that (p ∧ q) → r is logically equivalent to ¬(p ∧ q) ∨ r using logical identities.
💡 Hint: Break down the statement systematically, applying identities.
Question 2
Show that ¬(p ∨ q) is equivalent to ¬p ∧ ¬q, using De Morgan's Law.
💡 Hint: Negation is key in switching from disjunction to conjunction.
Challenge and get performance evaluation