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Last updated at May 29, 2018 by Teachoo

Transcript

Ex 14.2, 3 Find the component statements of the following compound statements and check whether they are true or false. (i) Number 3 is prime or it is odd. The component statements are :- p: Number 3 is prime. q: It is odd. The connecting word is ‘Or’ We know that number 3 is prime Hence p is true We know that number 3 is odd Hence q is true. Ex14.2, 3 Find the component statements of the following compound statements and check whether they are true or false. (ii) All integers are positive or negative. The component statements are :- p : All integers are positive. q : All integers are negative. Connecting word is ‘or’ Since all integers are not positive Hence p is false. Since all integers is not negative Hence q is false. Ex14.2, 3 Find the component statements of the following compound statements and check whether they are true or false. (iii) 100 is divisible by 3, 11 and 5. The component statements are :- p: 100 is divisible by 3. q: 100 is divisible by 11. r: 100 is divisible by 5. The connection word is ‘and’ Since, p is false, because 100 is not divisible by 3 q is false, because 100 is not divisible by 11 r is true, because 100 is not divisible by 5 Hence p & q are false & r is true.

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.