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Check whether the following pairs of sta...

Check whether the following pairs of statements are negation of each other. Give reasons for your answer.
`x+y=y+x` is true for every real number x and y.
There exists real number x and y for which x +y = y+x

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Check whether the following pair of statements are negation of each other. Give reasons for your answer. x + y= y + x is true for every real numbers x and y. There exists real numbers x and y for which x + y = y + x .

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MODERN PUBLICATION-MATHEMATICAL REASONING-EXERCISE
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  6. Let p: It is raining to-day and q : There is no light in this room. Gi...

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  7. Let p: It is raining to-day and q : There is no light in this room. Gi...

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  8. Let p: It is raining to-day and q : There is no light in this room. Gi...

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  9. Identify the quantifier in the following statement and state its type ...

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  10. Identify the quantifier in the following statement and state its type ...

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  11. Identify the quantifier in the following statement and state its type ...

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  12. Identify the quantifier in the following statement and state its type ...

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  13. Identify the quantifier in the following statement and state its type ...

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  14. Identify the quantifier in the following statement and state its type ...

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  15. Write the negation of the following : For every real number x, x +0 ...

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  16. Write the negation of the following : For every real number x, x is ...

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  17. Write the negation of the following : There exists a real number whi...

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