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Last updated at Feb. 17, 2020 by Teachoo

Transcript

Example 18 Write the negation of the following statements: p: For every real number x, x2 > x. Negation of p There exists a real number x such that x2 < x. Example 18 Write the negation of the following statements: (ii) q: There exists a rational number x such that x2 = 2. Negation of q is There does not exist a rational number x such that x2 2. Example 18 Write the negation of the following statements: (iii) r : All birds have wings. Negation of r There exists a bird which have no wings. Example 18 Write the negation of the following statements: (iv) s: All students study mathematics at the elementary level. Negation of s There exists a student who does not study mathematics at the elementary level.

Writing negation of statements

Chapter 14 Class 11 Mathematical Reasoning

Concept wise

- Statements
- Writing negation of statements
- Negation - Checking if true or not
- Finding Compound Statement
- Words 'And' & 'Or'
- Inclusive and exclusive or
- Quantifiers
- Contrapositive and converse
- If then
- If and only if
- Proving not true/false (by giving counter examples)
- Proving True - If and only if
- Proving True - By Contrapositive
- Proving True - By Contradiction
- Necessary and sufficient condition

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.