Numbers and Sets |
About Algebra
Addition and Subtraction Multiplication and Division Criterions for Divisibility
Types of Numbers Geometric Interpretation of Real Numbers Irrational Number Properties of Real Numbers Fractions Proportions Property of Equal Proportions Absolute Values Graphical Illustrations
Sets Subsets Operations with Sets Intervals |
A set is a finite or infinite
collection of objects. The objects are called elements
or members of a set. A ={ x, a, b, c}.
The statements ¨x is an element of the set A ¨ and ¨x is not an element of A ¨ are written symbolically as ,
correspondingly.
A set can be also defined by describing its elements
through their characterizing properties. For example, the statement A = { x | P },
where symbol | is used instead of ¨such
that¨. A null set (or empty set) has no elements. |