Practice Set S Definition (9.4.1) - Tutorial 5 - Discrete Mathematics

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6 sample questions

Question 1.
Define the term 'cardinality'.
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Think about how you count objects in a box.
Question 2.
What is an injective mapping?
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Remember, no two inputs should overlap in their outputs.
3Question 3.
What does the term 'cardinality' refer to?
- Size of a set
- A type of set
- An equation
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Consider the number of items in a collection.
4Question 4.
If two sets have injective mappings between them, what can we conclude?
- True
- False
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Think about the relationships defined by these mappings.
Question 5.
Create a set of rational numbers between 0 and 1 and prove its cardinality.
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Think about how to list all possible fractions fitting that description.
Question 6.
Prove the intersection of two uncountable sets can be empty.
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Visualize how different sets can share no values.

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