Practice Question 3 (9.1.3) - Tutorial 5 - Discrete Mathematics

Practise this section

9 questions

Flashcard drill
2 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
Define an infinite set with an example.
Show hintHide hint
Think of a set you can count with no upper limit.
Question 2.
What does countably infinite mean?
Show hintHide hint
Which set can be written in list form?
3Question 3.
What type of set does not have a finite number of elements?
- A finite set
- An infinite set
- A countable set
Show hintHide hint
Think of sets like natural numbers or integers.
4Question 4.
True or False: Any infinite set contains a countably infinite subset.
- True
- False
Show hintHide hint
Remember the sequence of removed elements.
Question 5.
Given the set of all real numbers, demonstrate the extraction of a countably infinite subset through iterations of element removal.
Show hintHide hint
How many elements can you remove from a set before it runs out?
Question 6.
Take any uncountable set and outline the process of finding a countably infinite subset.
Show hintHide hint
Use the idea of iteration and remember that infinite sets never truly run out.

5 more questions in this section. Enroll free to practise them all.