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Example 5 (i) - 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 5 Find the component statements of the following and check whether they are true or not. (i) A square is a quadrilateral and its four sides equal. The component statements are p: A square is quadrilateral. q: A square has all its sides equal. The connecting word is And . We know that a square is quadrilateral Hence p is true We know that square has all its equal Hence q is true Hence both component statement are true Example: 2 is prime but not odd Hence q is false. Hence ,both the components statement are false.
