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Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.
Typing
Memory
Math
English Adventures
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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 {Cat, Dog, Fish}?
💡 Hint: Count the number of elements.
Question 2
Easy
True or false: |{Apple, Banana}| = |{1, 2, 3}?
💡 Hint: Compare the number of elements in each 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 the notation |X| represent?
- The dimensions of set X
- The cardinality of set X
- The elements in set X
💡 Hint: Think of cardinality as counting.
Question 2
True or False: A bijection implies that the two sets have the same number of elements.
- True
- False
💡 Hint: Remember the definition of bijection.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Demonstrate why the set of all even integers is countable and establish a bijection to the positive integers.
💡 Hint: Consider how each positive integer relates to an even integer.
Question 2
Find all the possible bijections between the sets A = {1, 2} and B = {x, y}.
💡 Hint: Count how many ways to pair elements uniquely.
Challenge and get performance evaluation