Practice Question 5 (9.1.5) - Tutorial 5 - Discrete Mathematics

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6 sample questions

Question 1.
Provide an example of two uncountable sets intersecting at a finite point.
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Think of intervals in the real numbers.
Question 2.
What characterizes a countably infinite set?
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Consider how you could count them.
3Question 3.
Are the sets A = [0, 1] and B = [1, 2] uncountable?
- True
- False
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Think about real number intervals.
4Question 4.
What is the intersection of the integers and any other uncountable set?
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Consider what elements both sets share.
Question 5.
Create a situation with two uncountable sets that intersect both finitely and uncountably.
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Think about how rationals align within reals.
Question 6.
Prove that any two infinite sets can yield different intersection properties.
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Explore cases with excludable elements.

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