Practice Tutorial 2: Part 1 - 13.1.2 | 13. Lecture - 13 | Discrete Mathematics - Vol 1
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13.1.2 - Tutorial 2: Part 1

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define what a predicate is in your own words.

💡 Hint: Think about how predicates express properties like being a student or being a math major.

Question 2

Easy

What does the existential quantifier symbolize?

💡 Hint: Remember it corresponds to 'some' in everyday language.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is a predicate in logic?

  • A type of quantifier
  • A statement about an object
  • A combination of premises

💡 Hint: Think of predicates defining properties, such as 'is a student'.

Question 2

True or False: A counterexample can invalidate a general statement.

  • True
  • False

💡 Hint: Consider the role of counterexamples in proving statements wrong.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

You have a group of students where 5 are math majors, and 3 are seniors. Is it possible to conclude any statement about their intersection using predicates? Create a relevant logical expression.

💡 Hint: Focus on how you can relate the two groups in a logical expression.

Question 2

Construct a proof showing that if a student is not a senior, they cannot graduate. Use predicates and quantifiers to represent your logic.

💡 Hint: Pay close attention to the contrapositive of the statement.

Challenge and get performance evaluation