Practice Part B (6.6.2) - Tutorial 1: Part I - Discrete Mathematics - Vol 1
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Part B

Practice - Part B - 6.6.2

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does the negation of p = 'It is sunny' mean?

💡 Hint: Think about what it means to negate a statement.

Question 2 Easy

Translate the statement 'If it rains, then the ground is wet' into logical notation.

💡 Hint: Identify the 'if' and 'then' parts in your statement.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What logical connective indicates if-then relationships?

And
Or
Implies
Negates

💡 Hint: Think about what happens in an if-then statement.

Question 2

Is the contrapositive of p → q logically equivalent to p → q?

True
False

💡 Hint: Think about the structure of contrapositives.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Prove that if p ↔ q and ¬q → r, then p → r is also valid.

💡 Hint: Start with p ↔ q as two implications.

Challenge 2 Hard

If p is true, q as false, and r as true, determine the truth values for p → q, p ∨ r, and their implications.

💡 Hint: Use truth assignments and verify for each operation.

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Reference links

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