Mister Exam
(-13)/(2*x-7)>=0 inequation
The solution
Detail solution
Given the inequality:
$$- \frac{13}{2 x - 7} \geq 0$$
To solve this inequality, we must first solve the corresponding equation:
$$- \frac{13}{2 x - 7} = 0$$
Solve:
Given the equation:
$$- \frac{13}{2 x - 7} = 0$$
Multiply the equation sides by the denominator -7 + 2*x
we get:
Move free summands (without x)
from left part to right part, we given:
$$0 = 13$$
This equation has no roots
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
$$- \frac{13}{-7 + 0 \cdot 2} \geq 0$$
so the inequality is always executed
$$- \frac{13}{2 x - 7} \geq 0$$
To solve this inequality, we must first solve the corresponding equation:
$$- \frac{13}{2 x - 7} = 0$$
Solve:
Given the equation:
$$- \frac{13}{2 x - 7} = 0$$
Multiply the equation sides by the denominator -7 + 2*x
we get:
False
Move free summands (without x)
from left part to right part, we given:
$$0 = 13$$
This equation has no roots
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
$$- \frac{13}{-7 + 0 \cdot 2} \geq 0$$
13/7 >= 0
so the inequality is always executed
Solving inequality on a graph
Rapid solution 2
[src]
(-oo, 7/2)
$$x\ in\ \left(-\infty, \frac{7}{2}\right)$$
x in Interval.open(-oo, 7/2)