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:
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.