-4x>4 inequation

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

-4*x = 4

Divide both parts of the equation by -4

x = 4 / (-4)

$$x_{1} = -1$$
$$x_{1} = -1$$
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
$$- 4 x > 4$$
$$- \frac{\left(-11\right) 4}{10} > 4$$

22/5 > 4

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

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