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Show that the statement: p : If x is a r...

Show that the statement: `p :` If `x` is a real number such that `x^3+x=0,\ t h e n\ x\ i s\ 0` is true by (i)Direct method (ii).Method of contrapositive (iii)Method of contradiction.

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RD SHARMA ENGLISH-MATHEMATICAL REASONING-All Questions
  1. Show that the statement: p : If\ x is a real number such that x^3+4x=0...

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  2. Show that he following statement is true by the method of contrapos...

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  3. Using the words necessary and sufficient rewrite the statement The int...

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  4. Verify by the method of contradiction that sqrt(7) is irrational.

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  5. Check the validity of the statement given below by contradiction metho...

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  6. Evaluate the following limit: (lim)(x->0)(x^2+1-cos x)/(xsinx)

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  7. By giving an example, show that the following statement is false. If n...

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  8. Show that the statement For any real numbers a\ a n d\ b ,\ a^2=b^2 im...

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  9. Check the validity of the following statement: p : 100 is a multiple o...

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  10. Check the validity of the following statement: r : 60 is a multiple of...

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  11. Check the validity of the following statement: q : 125 is a multiple o...

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  12. Check whether the following statement is true or not: p : If\ x\ a n d...

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  13. Check whether the following statement is true or not: p : If x , y are...

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  14. Show that the statement: p : If x is a real number such that x^3+x=0,\...

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  15. Show that the following statement is true by the method of contrapos...

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  16. Show that the following statement is true: The integer n is even if an...

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  17. By giving a counter example, show that the following statement is not ...

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  18. Which of the following statements are true and which have are false? I...

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  19. Which of the following statements are true and which are false? In e...

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  20. Determine whether the argument used to check the validity of the fol...

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