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Question3 - If then - 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
Question3 Write each of the following statements in the form if-then (i) You get a job implies that your credentials are good. If you get a job, then your credentials are good. (ii) The Banana trees will bloom if it stays warm for a month. If the banana tree stays warm far a month, then it will bloom. (iii) A quadrilateral is a parallelogram if its diagonals bisect each other. If diagonals of quadrilateral bisect each other, then it is a parallelogram. (iv) To get an A+ in the class, it is necessary that you do all the exercises of the book. It you get A in the class, then you have done all the exercises in the book.
