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Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.
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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Provide an example of a proposition.
💡 Hint: Think of a statement that can be true or false.
Question 2
Easy
What symbol is used for the biconditional operator?
💡 Hint: Consider how we express 'if and only if'.
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 a tautology?
💡 Hint: Consider statements with universal truth.
Question 2
True or False: The contrapositive of a statement is logically equivalent to the statement itself.
- True
- False
💡 Hint: Draw out the implications to check for equivalence.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove that (p ∨ ¬p) is a tautology using a truth table and alternatively using logical identities.
💡 Hint: Evaluate the truth values stepwise.
Question 2
Provide a detailed proof for the equivalence of the two statements: p → q and ¬q → ¬p using a truth table and argumentation of logical identities.
💡 Hint: Demonstrate with various cases.
Challenge and get performance evaluation