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Set Theory - Algebra II
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17 Terms
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1
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N
Natural (1, 2, 3, ...)
2
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W
Whole (0, 1, 2, ...)
3
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Z
Integers (-1, 0, 1, ...)
4
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Q
Rational
5
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I
Irrational
6
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R
Real
7
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Closure
If you perform an operation on two numbers within one set of numbers the solution is also in the same set of numbers
8
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Commutativity
a+b=b+a, xy=yx
9
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Associativity
The parentheses in an all addition or all multiplication equation does not have an effect on the solution
10
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Identity Element
0 for addition, 1 for multiplication
11
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Inverse Element
Addition-Subtraction, Multiplication-Division
12
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List Method
{x, y, z, ...}
13
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Set-builder Notation
{x | x > 0}
14
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Equality
Same elements
15
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Equivalence
Same number of elements
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cardinality
The number of elements in a set
17
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Number of Possible Subsets in a Set
2^n, where n = number of elements
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