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Show that the statement: `p : If\ x` is a real number such that `x^3+4x=0,\ t h e\ x\ i s\ 0` is true by (i)Direct method(ii). method of contradiction (iii). method of contrapositive.

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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.

Show that the statement p: If x is a real number such that x^3+4x=0 . then x is 0 is true by(i) direct method, (ii) method of contradiction,(iii) method of contrapositive.

Show that the statement . p : 'If x is a real number such that x^(3)+ 4x=0, then x=0' is true by Direct method

Show that the statement . p : 'If x is a real number such that x^(3)+ 4x=0, then x=0' is true by Method of contrapositive

Show that the statement . p : 'If x is a real number such that x^(3)+ 4x=0, then x=0' is true by Method of contradiction

Show that the statement ''If x is real number such that x^(3)+4x=0 , then x=0'' is true by the method of contrapositive.

Prove that the statement If x is real number such that x^(3)+4x=0 , then x=0 by the method of contrapositive.

Write the contrapositive of the following statements: If x is real number such that 0 lt x lt 1 , then x^(2) lt 1 .

Show that the statement : 'ifx+3=9, "then "x=6' is truth by method of contrapositive.

Prove by direct method that for any real numbers x, y if x=y, then x^(2)=y^(2) .

RD SHARMA ENGLISH-MATHEMATICAL REASONING-All Questions
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  2. Check whether the following statement is true and false by proving its...

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  3. Show that the statement: p : If\ x is a real number such that x^3+4x=0...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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