# New Statements from Old

## 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.

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Negation of a statement [00:07:18]
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