Understanding Sets in Mathematics

Which of the following best defines a set in mathematical terms?

• A collection of numbers with no specific order

• A well-defined collection of distinct objects considered as a single entity

• A group of numbers that are all the same

• A series of numbers that can be added together

Which of the following is an example of a set?

• {2, 3, 5, 7}

• 3, 5, 7

• 2 + 3 + 5 + 7

• The numbers between 1 and 10

Which of the following statements about sets is true?

• Sets can contain duplicate elements.

• Sets are always defined by an alphabetical order.

• The order of elements in a set does not matter.

• Sets can only contain numbers.

If set A = {1, 2, 3} and set B = {3, 4, 5}, what is the intersection of sets A and B?

• {1, 2}

• {3}

• {4, 5}

• {1, 2, 3, 4, 5}

Which of the following is NOT a property of a set?

• Sets can have an infinite number of elements.

• The elements of a set must be distinct.

• The arrangement of elements in a set affects its identity.

• A set can be defined by listing its elements.

What is set-builder notation?

• A method used to count the number of elements in a set

• A notation used to represent fractions in set theory

• A way to describe the order of elements in a set

• A mathematical notation used to describe a set by stating the properties that its members must satisfy.

How would you write the set of real numbers greater than -2 using set builder notation?

• 
• 
• 
• 

What are the things "inside" a set called?

• Numbers

• Variables

• Integers

• Elements

How would you express the set of all real numbers ( y ) that are less than or equal to 10 using set builder notation?

• 2. { y | y is a real number and y < 10 }

• 2. { y | y is a real number and y > 10 }