8*x-16<0 inequation

Given the inequality:
$$8 x - 16 < 0$$
To solve this inequality, we must first solve the corresponding equation:
$$8 x - 16 = 0$$
Solve:
Given the linear equation:

8*x-16 = 0

Move free summands (without x)
from left part to right part, we given:
$$8 x = 16$$
Divide both parts of the equation by 8

x = 16 / (8)

$$x_{1} = 2$$
$$x_{1} = 2$$
This roots
$$x_{1} = 2$$
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
$$x_{0} = x_{1} - \frac{1}{10}$$
=
$$- \frac{1}{10} + 2$$
=
$$\frac{19}{10}$$
substitute to the expression
$$8 x - 16 < 0$$
$$-16 + \frac{8 \cdot 19}{10} < 0$$

-4/5 < 0

the solution of our inequality is:
$$x < 2$$

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