Mister Exam
4x+x-5x<3-12 inequation
The solution
Detail solution
Given the inequality:
$$- 5 x + \left(x + 4 x\right) < -9$$
To solve this inequality, we must first solve the corresponding equation:
$$- 5 x + \left(x + 4 x\right) = -9$$
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
$$0 \cdot 4 - 0 \cdot 5 < -9$$
but
so the inequality has no solutions
$$- 5 x + \left(x + 4 x\right) < -9$$
To solve this inequality, we must first solve the corresponding equation:
$$- 5 x + \left(x + 4 x\right) = -9$$
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
$$0 \cdot 4 - 0 \cdot 5 < -9$$
0 < -9
but
0 > -9
so the inequality has no solutions
Solving inequality on a graph
Rapid solution
This inequality has no solutions