Practice Part B (13.5.2) - Lecture - 13 - Discrete Mathematics - Vol 1
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Part b

Practice - Part b - 13.5.2

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does the predicate M(x) represent in the context of our lectures?

💡 Hint: Think about what characteristics M(x) highlights.

Question 2 Easy

What is an existential quantifier, and how is it used?

💡 Hint: Look for phrases like 'some' or 'there exists' in the definitions.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does M(x) denote?

Math major
Senior
Left campus for weekend

💡 Hint: Focus on definitions of predicates we discussed.

Question 2

If all seniors left campus, which logical expression describes this?

💡 Hint: Reflect on how we have formed arguments with predicates.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Prove that there are infinitely many prime numbers using a form of contradiction in logical predicates.

💡 Hint: Relate the arguments back to definitions of prime and consider number formulation.

Challenge 2 Hard

Construct a logical statement combining various predicates to show a stamp collector has unique conditions for their collection.

💡 Hint: Be mindful of uniqueness!

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