Mister Exam
log1/2(x+1)≥-1 inequation
The solution
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[src]
log(1) ------*(x + 1) >= -1 2
$$\frac{\log{\left(1 \right)}}{2} \left(x + 1\right) \geq -1$$
(log(1)/2)*(x + 1) >= -1
Detail solution
Given the inequality:
$$\frac{\log{\left(1 \right)}}{2} \left(x + 1\right) \geq -1$$
To solve this inequality, we must first solve the corresponding equation:
$$\frac{\log{\left(1 \right)}}{2} \left(x + 1\right) = -1$$
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
$$\frac{\log{\left(1 \right)}}{2} \geq -1$$
so the inequality is always executed
$$\frac{\log{\left(1 \right)}}{2} \left(x + 1\right) \geq -1$$
To solve this inequality, we must first solve the corresponding equation:
$$\frac{\log{\left(1 \right)}}{2} \left(x + 1\right) = -1$$
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
$$\frac{\log{\left(1 \right)}}{2} \geq -1$$
0 >= -1
so the inequality is always executed