Statement
A sentence is called a mathematically acceptable statement if it is either true or false. Eg
o o o o o
Two plus two equals five. FALSE- Statement The sum of two positive numbers is positive. TRUE: Statement Girls are smarter than boys. Debatable: Not a statement Mathematics is fun. Debatable: Not a statement Exam Fear is a good educational website. Debatable: Not a statement
The denial of a statement is called the negation of the statement. It is false that XXXX.
Statement: Three plus two is Five Negation: < It is false that Three plus two is Five >
Three plus Two is not Five
Statement: Everyone in India peaks Hindi Negation: < It is false that Everyone in India peaks Hindi >
Not Everyone in India speaks Hindi
Statement: India is a democratic country Negation: < It is false that India is a democratic country >
India is not a democratic country
Property of Negation of Statement: If p is a statement, then the negation of p is also a statement and is denoted by ∼ p.
Compound & Component Statement A Compound Statement is a statement which is made up of two or more statements.
Each statement is called a component statement.
Component statement: 7 is an odd number. Component statement: 7 is a prime number. Compound Statement: 7 is both odd and prime number.