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Identify the quantifiers in the followi...

Identify the quantifiers in the following statements.
(i) There exists a triangle which is not equilateral.
(ii) For all real numbers x and y , xy = yx.
(iii) There exists a real number which is not a rational number .
(iv) For every natural number which x,x + 1 is also a natural number.
(v) For all real number x with `x gt 3 , x^(2)` is greater than 9.
(vi) There exist a traingle which is not an isosceles traingle.
(vii) For all negative `x,x^(3)` is also a nagative integers.
(viii) There exists a statements in above statements which is not true.
(ix) There exists an even prime number other thab 2.
(x) There exists a real number x such that `x^(2) + 1=0`

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There exists
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MODERN PUBLICATION-MATHEMATICAL REASONING -EXERCISE
  1. Which of the following sentences are statement ? Justify (i) A t...

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  2. Write the component statement of the following compound statements ...

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  3. Write the component statement of the following compound statements ...

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  4. Translate the following statement into symbolic into symbolic from. ...

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  5. Translate the following statement into symbolic into symbolic from. ...

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  6. Translate the following statement into symbolic into symbolic from. ...

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  7. Rewrite each of the following statements in the form of conditonal st...

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  8. The conditional statement of "You will get a sweet dish after the dinn...

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  9. Rewrite each of the following statements in the form of conditonal st...

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  10. Rewrite each of the following statements in the form of conditional st...

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  11. Write down the contrapositive of the following statements. (i) If ...

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  12. Write down the contrapositive of the following statements. (i) If ...

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  13. By giving a counter-example, show that the following statement is fals...

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  14. Write down the contrapositive of the following statements : If x and...

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  15. Identify the quantifiers in the following statements. (i) There e...

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  16. Identify the Quantifiers in the following statements : For all real...

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  17. Identify the quantifiers in the following statements. (i) There e...

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  18. Identify the quantifier in each of the following statements: For ever...

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  19. Check whether the following statement is true or false by the method...

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