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Example 6 (i) - 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
Example 6 Write the component statements of the following compound statements and check whether the compound statement is true or false. (i)A line is straight and extends indefinitely in both directions. The component statements are p: A line is straight. q: A line extends indefinitely in both directions. We know that p is true , q is true. Both statement are true. The connecting word is and Hence the compound statement is true.
