I hit a roadblock on this one. I thought that all I needed to do in order to be able to use the Android support library was to do the same way how I add JAR files to my project in Eclipse.
Turned out for this one, it was not the case.
The solution to this problem is to add the support library in your Eclipse project by doing this step:
<strong><span style="color: #0000ff;">Right click project name, then select Android Tools > Add Support Library</span></strong>
That is all you need to do. Just read through the install wizard and install the Android Support Library. The latest version will most likely pop out of your window screen.