Practice Set Identities - 15.8 | 15. Sets | Discrete Mathematics - Vol 1
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the cardinality of the set {3, 1, 2}?

💡 Hint: Count the elements in the set.

Question 2

Easy

Is {x} a singleton set?

💡 Hint: Think about the definition of a singleton set.

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 A ∩ B represent?

  • Elements in A only
  • Elements in B only
  • Elements common to both A and B

💡 Hint: Look for common elements in both sets.

Question 2

True or False: The power set of {1, 2} contains 4 elements.

  • True
  • False

💡 Hint: Consider the subsets of a 2-element set.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given sets A = {1, 2, 3}, B = {3, 4, 5}, and C = {1, 4}, prove that A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C).

💡 Hint: Think about the distributive property of sets.

Question 2

Construct the power set of the set D = {a, b}. List all subsets and explain.

💡 Hint: Consider how many subsets you can form from 2 elements.

Challenge and get performance evaluation