Practice Question 5 (6.6) - Tutorial 1: Part I - Discrete Mathematics - Vol 1
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Question 5

Practice - Question 5

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Learning

Practice Questions

Test your understanding with targeted questions

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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

Challenge 2 Hard

Create a truth table for expressions p → q and ¬r, determining if their conjunction is satisfiable.

💡 Hint: Remember to check all combination rows thoroughly.

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