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1/(3^x-1)+((9^(x+0.5)-3^(x+3))/(3^x-9))>=3^(x+1) inequation

A inequation with variable

The solution

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          x + 1/2    x + 3          
  1      9        - 3          x + 1
------ + ----------------- >= 3     
 x              x                   
3  - 1         3  - 9               
$$\frac{1}{3^{x} - 1} + \frac{- 3^{x + 3} + 9^{x + \frac{1}{2}}}{3^{x} - 9} \geq 3^{x + 1}$$
1/(3^x - 1) + (-3^(x + 3) + 9^(x + 1/2))/(3^x - 9) >= 3^(x + 1)
Solving inequality on a graph