(x-4)/11<0 inequation

Given the inequality:
$$\frac{x - 4}{11} < 0$$
To solve this inequality, we must first solve the corresponding equation:
$$\frac{x - 4}{11} = 0$$
Solve:
$$t_{1} = 4$$
$$t_{1} = 4$$
This roots
$$t_{1} = 4$$
is the points with change the sign of the inequality expression.
First define with the sign to the leftmost point:
$$t_{0} < t_{1}$$
For example, let's take the point
$$t_{0} = t_{1} - \frac{1}{10}$$
=
$$- \frac{1}{10} + 4$$
=
$$3.9$$
substitute to the expression
$$\frac{x - 4}{11} < 0$$
$$\frac{x - 4}{11} < 0$$

  4    x     
- -- + -- < 0
  11   11    

Then
$$t < 4$$
no execute
the solution of our inequality is:
$$t > 4$$

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       t1