Identifying Sets

Which one is a set?

• A group of similar elements with order

• A collection of distinct elements with no order

• A single element

• A random assortment of elements

What is the definition of a set?

• A set is a mathematical operation.

• A set is a single element.

• A set is a collection of distinct elements with no specific order.

• A set is a group of related items.

How are elements in a set separated?

• asterisks

• commas

• semicolons

• slashes

Can a set contain duplicate elements?

• Sometimes

• Rarely

• No

• Yes

What is the cardinality of an empty set?

• 3

• 1

• 2

• 0

Give an example of a finite set.

• The set of prime numbers: {2, 3, 5, 7, 11, ...}

• The set of planets in the solar system: {Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune}

• The set of even numbers: {2, 4, 6, 8, 10, ...}

• The set of colors in a rainbow: {red, orange, yellow, green, blue, indigo, violet}

Explain the concept of a subset.

• A subset is a superset that contains all elements of the original set.

• A subset is a set that contains elements not found in another set.

• A subset is a set that contains only elements that are also in another set.

• A subset is a set that has no elements in common with another set.

What is the power set of a set?

• The power set of a set is the set of all odd numbers in the original set

• The power set of a set is the set of all elements raised to a power

• The power set of a set is the set of all prime numbers in the original set

• The power set of a set is a set that contains all possible subsets of the original set.

Define the union of two sets.

• The union of two sets is the intersection of A and B.

• The union of two sets A and B is denoted as A ∪ B.

• The union of two sets is denoted as A ∩ B.

• The union of two sets is the difference between A and B.

Describe the intersection of two sets.

• The intersection of two sets is the union of their elements.

• The intersection of two sets is denoted by the symbol U.

• The intersection of two sets is represented by the symbol +.

• The intersection of two sets is denoted by the symbol ∩.