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Question

For the inequation
(1.25)1x<(0.64)2(1+x)

A
There is no real value of x exists
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B
There are infinitely man negative values of x exist
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C
Any real value of x greater than 25 satisfies the inequation
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D
There is exactly one positive and one negative integer only satisfying the equation
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Solution

The correct option is C Any real value of x greater than 25 satisfies the inequation

(54)1x<(1625)2(1+x)
(45)x1<(45)4(1+x)
Now 0<45<1x1>4(1+x)
x4x5>0(x5)(x+1)>0
x>5x>25


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