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If a,b,c are positive unequal real numbe...

If a,b,c are positive unequal real numbers then prove that
`(a+b+c)(1/a+1/b+1/c)gt9`

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KALYANI PUBLICATION-INEQUALITIES AND INEQUATIONS-EXERCISE
  1. If a,b,c are positive unequal real numbers then prove that (bc)/a+(c...

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  2. If a,b,c are positive unequal real numbers then prove that b^2c^2+c^...

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  3. If a,b,c are positive unequal real numbers then prove that (a+b+c)(1...

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  4. If a,b,c,e,f,g are positive unequal real numbers then prove that (a/...

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  5. If a,b,c are positive unequal real numbers then prove that a^2+b^2+c...

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  6. prove that sqrt7+sqrt12gtsqrt6+sqrt13.

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  7. If a,b,c are positive unequal real numbers then prove that sqrt14+sq...

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  8. Prove that in any triangle, the semi perimeter is greater than each of...

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  9. Prove that in any quadrilateral the sum of the diagonals is greater th...

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  10. If (a^2+b^2)(x^2+y^2)=(ax+by)^2 then prove that x/a=y/b.

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  11. If a,b,c are positive unequal real numbers then prove that a^2+b^2+c...

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  12. If a,b, c and x, y, z are all positive and unequal, then prove that, ...

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  13. If a,b, c and x, y, z are all positive and unequal, then prove that, ...

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  14. If x, y, z are all positive real numbers, then prove that, If x+y+z...

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  15. If a,b, c and x, y, z are all positive and unequal, then prove that, ...

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  16. If x + y=5, then find the greatest value of 10xy.

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  17. If 2x+ 3y = 5, then find the greatest value of 8xy.

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  18. If 7/12xy=21, then find the minimum value of 5(x+y).

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  19. Find the solution sets of the following inequations. 7(3-2x)+5(x-1)l...

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  20. Find the solution sets of the following inequations. 5(x-11)+4gt2(x-...

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