Practice Discrete Mathematics (6.1) - Tutorial 1: Part I - Discrete Mathematics - Vol 1
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Discrete Mathematics

Practice - Discrete Mathematics

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does the negation of the statement 'p' represent?

💡 Hint: Think of it as contrary to the truth of 'p'.

Question 2 Easy

How many possible truth values are there for two propositions?

💡 Hint: Consider the truth outcomes for each proposition combined.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

If p is true and q is false, what is the value of p → q?

True
False

💡 Hint: Remember the definition of an implication.

Question 2

Is ¬(p ∨ q) logically equivalent to ¬p ∧ ¬q?

True
False

💡 Hint: Think about how negation distributes over disjunction.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Create a compound proposition using p, q, and r that reflects a real-world scenario, then provide its truth table.

💡 Hint: Break down each scenario to see the impacts of each proposition.

Challenge 2 Hard

Prove the logical equivalence between the statements p → q and ¬q → ¬p by constructing truth tables.

💡 Hint: Ensure to cover all combinations in your truth tables.

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