Practice Translating English Statements using Predicates - 9.2.2 | 9. Rules of Inferences in Predicate Logic - part A | Discrete Mathematics - Vol 1
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Translate 'All students pass the exam' into predicate logic.

💡 Hint: Look for a universal quantifier.

Question 2

Easy

Translate 'There exists a student who is studying math' into predicate logic.

💡 Hint: Use the existential quantifier for at least one student.

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 does the universal quantifier (∀) indicate?

  • At least one
  • All
  • None

💡 Hint: Focus on the meaning of 'every' or 'all'.

Question 2

True or False: The statement 'Some birds are large' is equivalent to 'There exists at least one large bird'.

  • True
  • False

💡 Hint: Consider how existence is defined in logic.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Create an argument using predicates to show how specific students relate to their graduation status based on course completion. How would you logically infer their graduation?

💡 Hint: Think through the relationships between course completion and graduation.

Question 2

Given a universe of cars, define predicates for electric (E) and hybrid (H) cars. Express 'Some hybrid cars are electric' logically and discuss its meaning.

💡 Hint: Consider the characteristics of hybrid and electric cars.

Challenge and get performance evaluation