Conditional Formatting--Relative References Not Working Correctly

Here is some more information about the problem that is described in my original post with an image to show the formatting issues.

Here is the rule that creates the formatting for cells G13:H14 below: 

And, here is the rule that uses some relative references for cells I13:J14: 

I cannot figure out why the rule that uses the absolute references works perfectly fine, but the rule that was created for the range I13:J14 does not work correctly.  If you look below, you can see the actual results of the two rules, which are pretty much the same except that one has two dollar signs removed.

In this image G13:H14 are formatted correctly, but they have only absolute references in their rules. Cells I13:J14 are only partially correct, and these rules are part absolute and part relative. The rules that are active are below.