What is set in math grade 7
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5 examples of sets.
1.1.1: Basics of Sets
An art collector might own a collection of paintings, while a music lover might keep a collection of CDs. Any collection of items can form a set.
Set
A set is a collection of distinct objects, called elements of the set
A set can be defined by describing the contents, or by listing the elements of the set, enclosed in curly brackets.
Example 1
Some examples of sets defined by describing the contents:
- The set of all even numbers
- The set of all books written about travel to Chile
Some examples of sets defined by listing the elements of the set:
- {1, 3, 9, 12}
- {red, orange, yellow, green, blue, indigo, purple}
A set simply specifies the contents; order is not important.
Elements of a set examples
The set represented by {1, 2, 3} is equivalent to the set {3, 1, 2}.
Notation
Commonly, we will use a variable to represent a set, to make it easier to refer to that set later.
The symbol \(\in\) means “is an element of”.
A set that contains no elements, \(\{ \}\), is called the empty set and is notated \(\emptyset\)
Example 2
Let \(A=\{1,2,3,4\
- sets in basic mathematics
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