Practice Question 2 (9.1.2) - Tutorial 5 - Discrete Mathematics

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6 sample questions

Question 1.
What is cardinality?
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Think about how you count elements in set S.
Question 2.
Define injective mapping.
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Recall the relationship between sets A and B.
3Question 3.
What does cardinality measure?
- The type of elements in a set
- Number of elements in a set
- Set operations
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Think about what cardinality actually tells us.
4Question 4.
Is an infinite subset of the positive integers always countably infinite?
- True
- False
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Remember how sequences work in infinite sets.
Question 5.
Construct a proof that demonstrates there can be no infinite set A with cardinality less than א₀, detailing the implications of the defined claims. Use examples to illustrate.
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Ensure you follow the logical structure presented in the section's proof.
Question 6.
Provide an example of two different infinite sets that have the same cardinality, and explain how you would show they are countably infinite.
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Focus on the mapping process and how it confirms set equality.

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