Practice Part B (13.4.2) - Lecture - 13 - Discrete Mathematics - Vol 1
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Part b

Practice - Part b - 13.4.2

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define a predicate to represent 'x is a student'.

💡 Hint: Think of how to state who belongs to which category.

Question 2 Easy

What does the statement ∀x(M(x) → W(x)) imply?

💡 Hint: Focus on breaking down the elements of the statement.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does ∃x(S(x) ∧ W(x)) mean?

No students have left
At least one student is both a math major and left
All math majors have left

💡 Hint: Focus on the existential meaning of the statement.

Question 2

Is it true that if P(x) is true, then P(x+1) must be true?

True
False

💡 Hint: Think of exceptions to the statement.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Construct a logical argument involving predicates for a scenario where all seniors earn higher than 3.0, but not all students do. Determine its validity.

💡 Hint: Break it down into parts, analyze the components.

Challenge 2 Hard

Create an example showing P(0) is true and ∀n(P(n) → P(n+1)) is invalid.

💡 Hint: Identify properties that diverge.

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