Practice - Summary of Concepts Introduced
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Practice Questions
Test your understanding with targeted questions
What is a tautology? Give an example.
💡 Hint: Think of statements that cover all truth values.
Define a contradiction and give an example.
💡 Hint: Look for examples where one part conflicts with another.
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Interactive Quizzes
Quick quizzes to reinforce your learning
Which of the following is always true?
💡 Hint: Consider what happens if p is true or false.
Is p → q equivalent to ¬q → ¬p?
💡 Hint: Think of the meaning of each side of the equivalence.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Consider the statements p = 'It rains' and q = 'The ground is wet'. Show using logical equivalence that 'If it does not rain, then the ground is not wet' is equivalent to 'If the ground is wet, then it has rained'.
💡 Hint: Start with rewriting the statements using known identities.
Using De Morgan's Law, simplify ¬(p ∨ q).
💡 Hint: Focus on how negation interacts with conjunctions and disjunctions.
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Reference links
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