The given inequalities are as follows:

[tex]1. (2 > -3)[/tex]

[tex]2. (x \in \left[7, 14\right])[/tex]

[tex]3. (\frac{x}{7} > \frac{-3}{14})[/tex]

Now, let's write these inequalities formally:

1. The inequality

[tex](2 > -3)[/tex]

is satisfied for all real numbers.

2. The variable x belongs to the closed interval

[tex]([7, 14]).[/tex]

3. The inequality

[tex](\frac{x}{7} > \frac{-3}{14})[/tex]

is satisfied when (x) is in the open interval

[tex](0, 14)[/tex]

These formal representations describe the given inequalities.