With linear inequalities in two variables, you still have y=mx+b and it still tells you the same thing.
The inequality portion adds two additional layers on top of the y=mx+b line.
If the inequality is > or <, then you draw the line as a dashed line.
If the inequality is ≥ or ≤, then you draw the line as a solid line.
The difference is that points on the > or < line do NOT make the inquality true, while points on the ≥ or ≤ line do.
The other piece is that all the points on one side of the line will also make the inequality true.
If you have "y>mx+b" or "y≥mx+b", then you shade above the line.
If you have "y<mx+b" or "y≤mx+b", then you shade below the line.
So there are three parts:
1. Where is the line?
2. Is the line solid or dashed?
3. Do you shade above or below the line?
The three graphs are attached.