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Example 10 - Mathematical Reasoning
Last updated at April 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 10 Write the converse of the following statements. If a number n is even, then n2 is even. If a number n2 is even , then n is even. (ii) If you do all the exercises in the book, you get an A grade in the class. It you get an A grade in the class , then you have done all the exercises in the book. (iii) If two integers a and b are such that a > b, then a – b is always a positive integer. If two integers a & b are such that a – b is always positive integers, then a > b
