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log1/7(4x+1)<-2 inequation

A inequation with variable

The solution

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log(1)               
------*(4*x + 1) < -2
  7                  
$$\frac{\log{\left(1 \right)}}{7} \left(4 x + 1\right) < -2$$
(log(1)/7)*(4*x + 1) < -2
Detail solution
Given the inequality:
$$\frac{\log{\left(1 \right)}}{7} \left(4 x + 1\right) < -2$$
To solve this inequality, we must first solve the corresponding equation:
$$\frac{\log{\left(1 \right)}}{7} \left(4 x + 1\right) = -2$$
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

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

but
0 > -2

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