The document defines and explains the real number system by starting with natural numbers and expanding the number system to include rational numbers, irrational numbers, and finally real numbers. It provides examples and definitions of different types of numbers such as integers, fractions, periodic decimals. Properties of operations like addition, multiplication and equality on real numbers are also stated.
1. The document introduces set language and notation.
2. It defines basic set operations like union, intersection, complement and Cartesian product.
3. Examples are provided to illustrate set operations and relations between sets using set builder, roster and function notations.
The document defines and explains the real number system by starting with natural numbers and expanding the number system to include rational numbers, irrational numbers, and finally real numbers. It provides examples and definitions of different types of numbers such as integers, fractions, periodic decimals. Properties of operations like addition, multiplication and equality on real numbers are also stated.
1. The document introduces set language and notation.
2. It defines basic set operations like union, intersection, complement and Cartesian product.
3. Examples are provided to illustrate set operations and relations between sets using set builder, roster and function notations.