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The inequality n ! > 2^(n-1) is true:...

The inequality `n ! > 2^(n-1)` is true:

A

for all n `in` N

B

for all n > 1

C

for all n > 2

D

for no n `in` N.

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MODERN PUBLICATION-LINEAR INEQUATIONS-EXERCISE
  1. If the conjugate of (x + iy) (1-2i) be 1+i, then :

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  2. Mathematical Induction shows that the inequality log (n!) >n/2 holds :

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  3. The inequality n ! > 2^(n-1) is true:

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  4. The number of solutions of the equation z^2+ bar z=0 is :

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  7. For any complex number z, the minimum value of |z|+|z-1| is :

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  8. If alpha, beta are the roots of x^2-a(x-1)+b=0, then the value of 1/(a...

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  9. The sum of all real roots of the equation |x-2|^(2)+|x-2|-2=0 is

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  10. The quadratic equation whose roots are three times the roots of 3ax^2 ...

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  11. If a, b, c are real, then both the roots of the equation : (x- b) (x-c...

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  12. If x satisfies the inequations 2x- 7 < 11, 3x+4< -5, then x lies in th...

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  13. The set of all real x satisfying the inequality (3-|x|)/(4-|x|) ge0 is...

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  14. If the area of the triangle formed by the points z, z+iz and iz is 50 ...

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  16. If z= sqrt3+i, then the argument of z^2 e^(z-i) is equal to :

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  17. If omega ne 1 and omega^3=1, then : (a omega+b+c omega^2)/(a omega^2+...

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  18. The centre of a regular hexagon is at the point z = i. If one of its v...

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  19. If the roots of the equation 1/(x+p)+1/(x+q)=1/r, (x ne -p, x ne -q, r...

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  20. The solution of the equation : (3+2 sqrt2)^(x^2-8)+ (3+2 sqrt2)^(8-x^2...

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