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2.2 - Math Sets
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Key Concepts:
Terms in this set (22)
Set
It is a collection of objects.
Function
It is an unknown value that can give an output to an input.
Relation
It is a connection of the first set and the second set.
Binary Operations
These are symbols used to compute two values - to produce a new value.
2 Methods of Describing Sets
1. Roster/Tabular Method
2. Rule/Descriptive Method
Roster/Tabular Method
It is a Method of Describing Sets that looks like this:
E = {a, e, i , o, u}
Rule/Descriptive Method
It is a Method of Describing Sets that looks like this:
E = {x|x is a collection of vowels in the English Alphabet}
10 Types of Sets
1. Empty/Null/Void Set
2. Finite Set
3. Infinite Set
4. Universal Set
5. Unit Set
6. Equal Sets
7. Equivalent Sets
8. Joint Sets
9. Disjoint Sets
10. Venn Diagram and Set Operation
Empty/Null/Void Set
It is a Type of Set that contains no element.
C = {x|x is an integer less than 2 but greater than 1}
Finite Set
It is a Type of Set that contains a countable number of elements.
A = {a, b, c}
Infinite Set
It is a Type of Set that contains uncountable number of elements.
A = {..., -2, -1, 0, 1, 1, ...}
B = {x|x is a set of whole numbers}
Universal Set
It is a Type of Set that contains all elements under consideration.
U = {1, 2, 3, ..., 100}
U = {x|x is an animal in Manila Zoo}
Unit Set
It is a Type of Set that contains only one element.
E = { 1 < x < 3 }
E = {x|x is a whole number greater than 1 but less than 3}
Equal Sets
These are the Type of Set that contain exactly same elements.
A = {0, 1, 2, 3}
B = {2, 0, 1, 3}
Equivalent Sets
These are the Type of Set that contain the same number of elements.
A = {a, b, c, d}
B = {2, 0, 1, 3}
Joint Sets
These are the Type of Set that have at least one common element.
A = {a, b, c, d}
B = {d, e, f, g, h}
Disjoint Sets
These are the Type of Set that contain no common element.
A = {a, b, c, d}
B = {e, f, g, h}
3 Operations on Sets
1. Union
2. Intersection
3. Complement
Union
It is an Operation on Sets that adds the values of 1st & 2nd sets together.
Intersection
It is an Operation on Sets that only gets the common elements of the 1st & 2nd sets.
Complement
It is an Operation on Sets that subtracts the 2nd set to the 1st set.
Venn Diagram
It is a diagram that shows relations between different sets.
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