Mister Exam
log1/5*(x-1)=<-1 inequation
The solution
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[src]
log(1)*(x - 1)
-------------- <= -1
5
$$\frac{\left(x - 1\right) \log{\left(1 \right)}}{5} \leq -1$$
log(1)*(x - 1*1)/5 <= -1
Detail solution
Given the inequality:
$$\frac{\left(x - 1\right) \log{\left(1 \right)}}{5} \leq -1$$
To solve this inequality, we must first solve the corresponding equation:
$$\frac{\left(x - 1\right) \log{\left(1 \right)}}{5} = -1$$
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
$$\frac{\left(\left(-1\right) 1 + 0\right) \log{\left(1 \right)}}{5} \leq -1$$
but
so the inequality has no solutions
$$\frac{\left(x - 1\right) \log{\left(1 \right)}}{5} \leq -1$$
To solve this inequality, we must first solve the corresponding equation:
$$\frac{\left(x - 1\right) \log{\left(1 \right)}}{5} = -1$$
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
$$\frac{\left(\left(-1\right) 1 + 0\right) \log{\left(1 \right)}}{5} \leq -1$$
0 <= -1
but
0 >= -1
so the inequality has no solutions
Rapid solution
This inequality has no solutions