Class 11 Maths Mathematical Reasoning Statement

Statement

A sentence is called a mathematically acceptable statement if it is either true or false . Eg

• 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
• ExamFear 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.

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