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Last updated at May 29, 2018 by Teachoo

Transcript

Example 4 Find the component statements of the following compound statements. (i) The sky is blue and the grass is green. The component statements are p: The sky is blue. q: The grass is green. The connecting word is ‘and’. Example 4 Find the component statements of the following compound statements. (ii) It is raining and it is cold. The component statements are p: It is raining. q: It is cold. The connecting word is ‘and’. Example 4 Find the component statements of the following compound statements. (iii) All rational numbers are real and all real numbers are complex. The component statements are p: All rational numbers are real. q: All real numbers are complex. The connecting word is ‘and’. Example 4 Find the component statements of the following compound statements. (iv) 0 is a positive number or a negative number The component statements are p: 0 is a positive number. q: 0 is a negative number. The connecting word is ‘or’.

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.