Answer:
The given inequality is
![y](https://tex.z-dn.net/?f=y%3C%5Cfrac%7B1%7D%7B3%7Dx%2B%5Cfrac%7B1%7D%7B2%7D)
It's important to consider that the solution of an inequality with two variables is actually a set, which can be solves graphically.
First, we graph the line
, which is a not solid line, because the inequality sign doesn't include equivalence.
Second, we evaluate the inequality for a test point (0,0).
![y](https://tex.z-dn.net/?f=y%3C%5Cfrac%7B1%7D%7B3%7Dx%2B%5Cfrac%7B1%7D%7B2%7D%5C%5C0%3C%5Cfrac%7B1%7D%7B3%7D%280%29%2B%5Cfrac%7B1%7D%7B2%7D%5C%5C0%3C%5Cfrac%7B1%7D%7B2%7D)
The resulting statement is true, so the area of solution must contain the origin of the coordinate system.
Therefore, all solution points are shown in the image attached.
All this means the solution of the given inequality is inifinite. All the points that fall into the shaded area are solutions.