Lecture 1: All Real Numbers & the Real Line
Real Number - Can be represented as a decimal
- Integers - ,, , , ...
- Non Negative Numbers - , , , ...
- Natural Numbers - , ,
- Rational Numbers - where & are integers and
- Irrational Numbers - Cannot be represented as a rational (ex. , , )
Interval - a set of all real numbers can be represented as a line on the number line
Absolute Value - denoted by , defined by formula :
- triangle equality
thus we want positive value of values of x
Case 1 : Both positive
Case 2 : Both negative -
All together , ,