#### notes

**1) Negation of a statement:**

The denial of a statement is called the negation of the statement. Let us consider the statement:

p: New Delhi is a city

The negation of this statement is

It is not the case that New Delhi is a city

This can also be written as It is false that New Delhi is a city.

This can simply be expressed as New Delhi is not a city.

**2) Compound statements:**

Definition:

A Compound Statement is a statement which is made up of two or more statements. In this case, each statement is called a component statement.

Many mathematical statements are obtained by combining one or more statements using some connecting words like “and”, “or”, etc.

Consider the following statement

p : 7 is an odd number.

q : 7 is a prime number

These two statements can be combined with “and”

r : 7 is both odd and prime number.

This is a compound statement.