Sets and Subsets

Identify whether the following set is finite or infinite: A = {1, 2, 3, 4, 5}

• odd numbers

• prime numbers

• finite

• negative numbers

What is the null set?

• A set that contains all elements

• A set that contains only odd numbers

• A set that contains infinite elements

• A set that contains no elements.

Define a universal set and provide an example.

• Example: In a set of all fruits in a grocery store, the universal set would be the set of all vegetables in the grocery store.

• Example: In a set of all students in a school, the universal set would be the set of all students enrolled in that school.

• Example: In a set of all cars in a parking lot, the universal set would be the set of all animals in the parking lot.

• Example: In a set of all books in a library, the universal set would be the set of all movies in the library.

Determine if B = {1, 2} is a subset of A = {1, 2, 3, 4, 5}.

• B = {1, 2, 3}

• Yes

• No

• B = {3, 4, 5}

How many subsets does the set C = {a, b, c} have?

• 3

• 10

• 8

• 6

Explain the concept of equal sets with an example.

• Equal sets are sets that have different elements

• Equal sets are sets that have elements in descending order

• Equal sets are sets that have the same number of elements

• For example, the sets A = {1, 2, 3} and B = {3, 2, 1} are equal sets because they contain the same elements, even though the order of the elements is different.

What are equivalent sets? Provide an example.

• For example, the sets {1, 2, 3} and {3, 2, 1} are equivalent sets.

• Equivalent sets are sets that have the same number of elements.

• The sets {1, 2, 3} and {4, 5, 6} are equivalent sets.

• Equivalent sets are sets that have different elements.

Identify whether the following set is finite or infinite: D = {x | x is a prime number}

• finite

• odd numbers

• even numbers

• infinite

What is the null set in the context of a set of even numbers?

• The null set in the context of a set of even numbers is the set of whole numbers.

• The null set in the context of a set of even numbers is the set of prime numbers.

• The null set in the context of a set of even numbers is the set of odd numbers.

• The null set in the context of a set of even numbers is the empty set.

Give an example of a universal set in the context of the set of all living organisms.

• The set of all non-living organisms on Earth

• The set of all living organisms on Earth

• The set of all living organisms on Mars

• The set of all inanimate objects on Earth