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Example 17 - Mathematical Reasoning
Last updated at April 16, 2024 by Teachoo
Inclusive and exclusive or
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 17 Check whether “Or” used in the following compound statement is exclusive or inclusive? Write the component statements of the compound statements and use them to check whether the compound statement is true or not. Justify your answer. t: you are wet when it rains or you are in a river. The Compound statement are: p : You are wet when it rains q : You are wet when you are in a river. You are wet when either it rains or you are in a river , or both. Hence Here ‘Or’ in inclusive. Here, p is true & q is also true. Here connecting word is “or” & both the statement is true. Hence Compound statement is true.
