Set Theory - Algebra II

Natural (1, 2, 3, ...)

Whole (0, 1, 2, ...)

Integers (-1, 0, 1, ...)

Rational

Irrational

Real

If you perform an operation on two numbers within one set of numbers the solution is also in the same set of numbers

a+b=b+a, xy=yx

The parentheses in an all addition or all multiplication equation does not have an effect on the solution

0 for addition, 1 for multiplication

Addition-Subtraction, Multiplication-Division

{x, y, z, ...}

{x | x > 0}

Same elements

Same number of elements

The number of elements in a set

2^n, where n = number of elements