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Question 2 (i) - Contrapositive and converse - 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
Question2 (Introduction) Contrapositive It is done by Adding not to both component statements & changing order p ⇒ q ~ q ⇒ ~ p Converse It is done by changing order of statement p ⇒ q Then q ⇒ p Question2 Write the contrapositive and converse of the following statements. (i) If x is a prime number, then x is odd. Contrapositive If a number x is not odd , then it is not prime number. Converse If a number x is odd, then x is a prime number.
