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Example 16 - Mathematical Reasoning
Last updated at August 14, 2026 by Teachoo
Proving not true/false (by giving counter examples)
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
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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 16 By giving a counter example, show that the following statement is false. If n is an odd integer, then n is prime. Let n = 9 Here, n = 9 is odd But n = 9 is not prime Hence the given statement is false
