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Example 11 (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 11 For each of the following compound statements, first identify the corresponding component statements. Then check whether the statements are true or not. If a triangle ABC is equilateral, then it is isosceles. The Component statement are p: Triangle ABC is equilateral q: Triangle ABC is isosceles. Since an equilateral triangle is isosceles Hence the given compound statement is true.
