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Question 3 - Negation - Checking if true or not - Mathematical Reasoning
Last updated at August 14, 2026 by Teachoo
Negation - Checking if true or not
Mathematical Reasoning
Concept wise
- Statements
- Writing negation of statements
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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
Question 3 Check whether the following pair of statements is negation of each other. Give reasons for the answer. x + y = y + x is true for every real numbers x and y. There exists real number x and y for which x + y = y + x. The negation of first statement is There exists real numbers x & y for which x + y y + x Which is not equal to second statement. Hence given statement is false
