Sets of Real Numbers

• A set is a collection of objects.
• An object in a set is called an element of that set.
• Different type of integers:

1. Set of Positive Integers = {1,2,3, ...}
2. Set of Negative Integers = (..., -3,-2,-1}

• The real-number line is shown as:

Some Properties of Real Numbers

• Important properties of real numbers

1. The Transitive Property of Equality

If a=b and b=c then a=c

2. The Closure Properties of Addition and Multiplication
3. The Commutative Properties of Addn and Multiplicationition
4. The Commutative Properties of Addition and Multiplication

5. The Identity Properties

6. The Inverse Properties

7. The Distributive Properties