Practice Lecture No # 28 (4.1.1) - Module No # 05 - Discrete Mathematics

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6 sample questions

Question 1.
Define a countable set in your own words.
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Think of examples like the set of natural numbers.
Question 2.
What is ℤ x ℤ?
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Consider how pairs of integers relate to coordinate points.
3Question 3.
What defines a countable set?
- It can be finite.
- It has the same cardinality as the integers.
- Both A and B
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Remember the definition of countability.
4Question 4.
Are rational numbers countable?
- True
- False
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Think of their representation in fraction form.
Question 5.
Create a unique enumeration method for the set of all integers, demonstrating its countability.
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Consider creative sequences that cover all possibilities.
Question 6.
Prove with examples how a set with an uncountable subset must also be uncountable.
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Use the relationship between subsets and supersets.

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