# Misc 1 - Chapter 14 Class 11 Mathematical Reasoning

Last updated at May 29, 2018 by Teachoo

Last updated at May 29, 2018 by Teachoo

Transcript

Misc 1 Write the negation of the following statements: p: For every positive real number x, the number x 1 is also positive. Negation of statement p There exists a positive real number x, such that x 1 is not positive. Misc 1 Write the negation of the following statements: (ii) q: All cats scratch. Negation of statement q There exists a cat that does not scratch. Misc 1 Write the negation of the following statements: (iii) r: For every real number x, either x > 1 or x < 1. Negation of statement r There exists a real number x, such that neither x > 1 nor x < 1. Misc 1 Write the negation of the following statements: (iv) s: There exists a number x such that 0 < x < 1. Negation of statement s There does not exist a number x, such that 0 < x < 1.

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.