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log1/4(7-x)<-2 inequation

A inequation with variable

The solution

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log(1)             
------*(7 - x) < -2
  4                
$$\frac{\log{\left(1 \right)}}{4} \left(7 - x\right) < -2$$
(log(1)/4)*(7 - x) < -2
Detail solution
Given the inequality:
$$\frac{\log{\left(1 \right)}}{4} \left(7 - x\right) < -2$$
To solve this inequality, we must first solve the corresponding equation:
$$\frac{\log{\left(1 \right)}}{4} \left(7 - x\right) = -2$$
Solve:
This equation has no roots,
this inequality is executed for any x value or has no solutions
check it
subtitute random point x, for example
x0 = 0

$$\frac{\log{\left(1 \right)}}{4} \left(7 - 0\right) < -2$$
0 < -2

but
0 > -2

so the inequality has no solutions
Rapid solution
This inequality has no solutions