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Example 9 - Mathematical Reasoning
Last updated at Dec. 16, 2024 by Teachoo
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
Transcript
Example 9 Write the contrapositive of the following statement: (i) If a number is divisible by 9, then it is divisible by 3. If a number is not divisible by 3, it is not divisible by 9 (ii) If you are born in India, then you are a citizen of India. If you are not a citizen of India, then you were not born in India. (iii) If a triangle is equilateral, it is isosceles. If a triangle is not isosceles, then it is not equilateral.
