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Write the negation of each of the follow...

Write the negation of each of the following statements: For every real number `x , x+0=x=0+x` For every real number, `x , x` is less than `x+1`

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NCERT EXEMPLAR-RATIONAL NUMBERS -Exercise (true(T) or false (F))
  1. The additive inverse of (1)/(2) is -2. True or false.

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  2. If (x)/(y) is the additive inverse of (c )/(d), then (x)/(y)+(c )/(d)=...

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  3. Write the negation of each of the following statements: For every real...

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  4. If (x)/(y) is the additive inverse of (c )/(d) , then (x)/(y)-(c )/(d...

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  5. The reciprocal of a non-zero rational number (q)/(p) is the rational ...

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  6. If x + y = 0, then -y is known as the negative of x, where x and y are...

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  7. The negative of the negative of any rational number is the number itse...

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  8. The negative of 0 does not exist.

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  9. The negative of 1 is 1 itself.

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  10. For all rational numbers x and y, x - y = y - x.

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  11. For all rational numbers x and y, x xx y = y xx x.

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  12. For every rational number x, x xx 0=x.

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  13. For every rational numbers x, y and z, x+(y xx z)=(x+y) xx (x+z).

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  14. For all rational numbers a, b and c, a (b + c) = ab + bc.

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  15. 1 is the only number which is its own reciprocal.

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  16. -1 is not the reciprocal of any rational number.

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  17. For any rational number x, x + (-1) = -x.

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  18. For rational numbers x and y, if x lt y then x - y is a positive ratio...

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  19. If x and y are negative rational numbers, then so is x + y.

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  20. Between any two rational numbers there are exactly ten rational number...

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