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State with reason whether the statements...

State with reason whether the statements given below is negation of each other :
(i) The relation `xy=yx` is true for every real number x and y .
(ii) There exists real numbers x and y for which the relation `xy = y x ` is not true .

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The correct Answer is:
(i) and (ii) are negation of each other .
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CHHAYA PUBLICATION-MATHEMATICAL REASONING -EXERCISE (Very short Answer Type Questions )
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  2. Write the negation of each of the following statements and find in eac...

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  3. State with reason whether the statements given below is negation of ea...

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  4. State with reason whether the statements given below is negation of ea...

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  5. State with reason whether the statements given below is negation of ea...

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  6. Define examples simple statement and compound statements

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  7. What do you mean by 'Connectives ' in mathematical reasoning problems ...

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  8. Define with examples 'Conjunction' Disjunction ' ,"If - then implicati...

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  9. Find the component statements of the following compound statement: It ...

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  10. Write the component statements of each of the folloing compound statem...

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  11. Write the component statements of each of the following compound state...

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  12. Write the component statements of each of the folloing compound statem...

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  13. Write the component statements of each of the folloing compound statem...

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  14. Write the component statements of each of the folloing compound statem...

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  15. Write the component statements of each of the folloing compound statem...

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  16. Write the component statements of each of the folloing compound statem...

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  17. Write the component statements of each of the following compound state...

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  18. Write the component statements of each of the folloing compound statem...

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  19. Find the truth value of each of the following compound statements : ...

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  20. Find the truth value of each of the following compound statements : ...

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