Practice Sat Problem (3) - SAT Problem - Discrete Mathematics - Vol 1
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SAT Problem

Practice - SAT Problem

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define a satisfiable proposition.

💡 Hint: Think about a scenario where it is at least true.

Question 2 Easy

What does it mean for a proposition to be unsatisfiable?

💡 Hint: What if there are no conditions making it true?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a satisfiable proposition?

A proposition that is always false
A proposition that is true for at least one assignment
A proposition that is a contradiction

💡 Hint: Consider cases where it can be true.

Question 2

True or False: An unsatisfiable proposition can be true for some assignments.

True
False

💡 Hint: Recall the definition of unsatisfiability.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Create an expression for the compound proposition to show that either A is true or B is true, but not both.

💡 Hint: Think about how to combine the two propositions safely.

Challenge 2 Hard

Given the expression (p ∧ q) ∨ (¬p ∧ r), express it in CNF.

💡 Hint: Use logical identities to help in reformatting.

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Reference links

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