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