Set Theory Basics Quiz

Which of the following best describes a set?

A collection of elements without repetition

What is the cardinality of the set A = {1, 2, 3, 4, 5}?

5

Which set notation represents the rational numbers?

Q = {fractions}

In set theory, what does the symbol ∈ represent?

Belongs to a set Signup and view all the answers

What type of set is the empty set?

Finite set Signup and view all the answers

Which of the following is a proper subset of the set A = {1, 2, 3}?

{1, 2} Signup and view all the answers

What is the cardinality of the power set of the set B = {a, b, c, d}?

16 Signup and view all the answers

If A and B are sets such that A = {1, 2, 3} and B = {3, 4, 5}, what is the cardinality of the symmetric difference of A and B?

1 Signup and view all the answers

Which of the following is an example of an equivalent set to the set C = {-1, 0, 1}?

{0, 1, 2} Signup and view all the answers

If P = {x | x is a prime number less than 10} and Q = {2, 3, 5}, which of the following is true about P and Q?

Q is a subset of P Signup and view all the answers

In set theory, what is the result of the symmetric difference between two infinite sets?

An infinite set Signup and view all the answers

What is the cardinality of the power set of an infinite set?

It is an infinite set Signup and view all the answers

Which of the following correctly describes the relationship between the universal set and the power set?

The power set is a proper subset of the universal set Signup and view all the answers

If A and B are infinite sets, what is the cardinality of their intersection?

An infinite set Signup and view all the answers

Which of the following correctly represents De Morgan’s Laws in set theory?

$A \cap B = A' \cup B'$ and $A \cup B = A' \cap B'$ Signup and view all the answers

Set Theory Basics Quiz

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