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Algebra 1 - 1.1 Sets of Numbers
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I hope this helps because it was a confusing lesson
Terms in this set (38)
Set
A collection of objects
Element or Member
each object in a set
Empty or Null Set
a set with no elements
Empty Set Symbol
{ } or ∅
Element Symbol
∈
Not an Element Symbol
∉
union
the set of elements that appear in any sets
(T/F) ∅ ⊆
...
Union Symbol
∪
Union Example:
A = {1, 3, 7, 8, 10}
B = {1, 4, 6, 10}
A ∪ B = {1, 3, 4, 6, 7, 8, 10}
Intersection Example:
A = {1, 3, 7, 8, 10}
B = {1, 4, 6, 10}
A ∩ B = {1, 10}
Intersection
the set of element common to all the sets
Intersection symbol
∩
What are the two main set operations?
union and intersection
subset
a set that is another set in every element of the first is contained in the second set
Subset symbol
⊆
Subset Example
A⊆B
"A is a subset of B"
A⊆B
Shade for Union pt C
...
Shade for Union pt D
...
Shade for Union pt both
...
Shade for Intersection
...
(T/F) C∪D ⊆ C
False
(T/F) ∅⊆C
True
(T/F) C⊆C
false, can be a subset
(T/F) 6⊆D
false, needs braces (--> { })
(T/F) C∩D ⊆D
true
Natural Numbers
N = {1, 2, 3, 4...}
(counting numbers)
Whole Numbers
W = {*0*, 1, 2, 3...}
Integer Letter
Z
Finite Set
Number of elements in a set that are whole numbers
Infinite Set
a set that isn't finite
(T/F) N⊆W
True
(T/F) N⊆W⊆Z
True
Rational Number
set numbers that can be written as the ratio of two integers when the denominator isn't equal to zero (Q)
Irrational Numbers
set numbers that can't be expressed as a ratio of numbers (Q')
Real Number
the union of the sets of rational number and irrational numbers (R)
(T/F) N⊆W⊆Z⊆Q
True
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