Practice Translating Statements with Nested Quantification - 9.3 | 9. Nested Quantifiers = part B | Discrete Mathematics - Vol 1
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.

9.3 - Translating Statements with Nested Quantification

Enroll to start learning

You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Translate the statement: 'All dogs bark.'

💡 Hint: Think about the meaning of 'all' and how it relates to 'bark'.

Question 2

Easy

What does ∃x (Bird(x) ∧ CanFly(x)) express?

💡 Hint: Focus on the meaning of 'there exists' and how it relates to different properties.

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

Which of the following is the correct translation of 'Every person has a mother'?

  • ∃x M(x,y)
  • ∀x ∃y M(x,y)
  • ∃y ∀x M(x,y)

💡 Hint: Focus on who the statement refers to and the relationship defined.

Question 2

True or False: Changing the order of quantifiers does not affect the meaning of a statement.

  • True
  • False

💡 Hint: Think of how reversing statements changes conditions or relationships.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A city has citizens who are parents. Formulate: 'Every citizen is a parent to at least one child, and each child has a unique parent.'

💡 Hint: Break the requirements into parts and translate them logically.

Question 2

If all fruits are sweet, and some apples are fruits, what can you conclude about apples?

💡 Hint: Consider the implications of the universal statement on the specific example.

Challenge and get performance evaluation