Practice First Expression Analysis - 9.4.1 | 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

What does \( orall x, P(x) \) signify in predicate logic?

💡 Hint: Think about how you might express 'every' in logical symbolism.

Question 2

Easy

Translate the statement 'Some cats are black' into predicate logic.

💡 Hint: Focus on how you can express 'some' in logic.

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 expression \( orall x, S(x) \rightarrow C(x) \) mean?

  • Some students in CS201 study calculus
  • All students in CS201 study calculus
  • No students in CS201 study calculus

💡 Hint: Think about the difference between 'some' and 'all'.

Question 2

Is the statement 'All large birds do not live on honey' equivalent to \( orall x, L(x) \rightarrow
eg H(x) \)?

  • True
  • False

💡 Hint: Consider how negation might change the meaning of a universal statement.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Convert the statement 'Anyone who lectures in CS201 knows predicate logic' into a logical expression.

💡 Hint: Follow the structure of a conditional statement.

Question 2

Given the expression \( S(x) \rightarrow C(x) \), derive a meaningful real-world statement about course enrollment and study habits.

💡 Hint: Consider the common motivations for students who enroll in courses.

Challenge and get performance evaluation