Mister Exam
2x-2x+6>2 inequation
The solution
Detail solution
Given the inequality:
$$\left(- 2 x + 2 x\right) + 6 > 2$$
To solve this inequality, we must first solve the corresponding equation:
$$\left(- 2 x + 2 x\right) + 6 = 2$$
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
$$\left(0 \cdot 2 - 0 \cdot 2\right) + 6 > 2$$
so the inequality is always executed
$$\left(- 2 x + 2 x\right) + 6 > 2$$
To solve this inequality, we must first solve the corresponding equation:
$$\left(- 2 x + 2 x\right) + 6 = 2$$
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
$$\left(0 \cdot 2 - 0 \cdot 2\right) + 6 > 2$$
6 > 2
so the inequality is always executed
Solving inequality on a graph
Rapid solution
This inequality holds true always