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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a propositional variable in your own words.
💡 Hint: Think of variables in mathematics.
Question 2
Easy
What does a bi-implication mean?
💡 Hint: It's about mutual truthfulness.
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 does it mean for a set of propositions to be consistent?
- They can all be true at the same time
- They contradict one another
- None of the above
💡 Hint: Think about truth values.
Question 2
If p ↔ q is true, and p is false, what must q be?
- True
- False
💡 Hint: Refer to the definition of bi-implication.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove that the conjunction of p ↔ q and q → r leads to a consistent specification if r is also Implied by p.
💡 Hint: Sketch the implication chain to visualize.
Question 2
Create a truth table for expressions p → q and ¬r, determining if their conjunction is satisfiable.
💡 Hint: Remember to check all combination rows thoroughly.
Challenge and get performance evaluation