How will the solution of the system change if the inequality sign on both inequalities

Shown below

The first system of inequality is the following:

To find the solution here, let's take one point, say, and let's taste this point into both inequalities, so:

First inequality:

The region is not the one where the point lies

Second inequality:

The region is the one where the point lies

So the solution in this first case has been plotted in the first figure. As you can see, there is no any solution there

First inequality:

The region is the one where the point lies

Second inequality:

The region is not the one where the point lies

So the solution in this first case has been plotted in the second figure. As you can see, there is a solution there.

CONCLUSION: Notice that when reversing the signs on both inequalities the solution in the second case is the part of the plane where the first case didn't find shaded region.