4-2x>6 不等式

Given the inequality:
$$4 - 2 x > 6$$
To solve this inequality, we must first solve the corresponding equation:
$$4 - 2 x = 6$$
Solve:
Given the linear equation:

4-2*x = 6

Move free summands (without x)
from left part to right part, we given:
$$- 2 x = 2$$
Divide both parts of the equation by -2

x = 2 / (-2)

$$x_{1} = -1$$
$$x_{1} = -1$$
This roots
$$x_{1} = -1$$
is the points with change the sign of the inequality expression.
First define with the sign to the leftmost point:
$$x_{0} < x_{1}$$
For example, let's take the point
$$x_{0} = x_{1} - \frac{1}{10}$$
=
$$-1 + - \frac{1}{10}$$
=
$$- \frac{11}{10}$$
substitute to the expression
$$4 - 2 x > 6$$
$$4 - \frac{\left(-11\right) 2}{10} > 6$$

31/5 > 6

the solution of our inequality is:
$$x < -1$$

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