So two monitors tested on the same video card display port with the same issue? Sounds like a bad video card. If possible, test both monitors on another system. The U2312HM also has DVI and VGA in ports. Does the computer video card have either of those two video out ports to test on?

Thanks for the reply Chris.  I do have both DVI and VGA out ports and I will be testing that today.  Not sure if this has anything to do with my issue or not but I might as well mention it.  I have 4 2 GB ram sticks which came with my pc.  I purchased two new 2 gb ram sticks due to some memory issues I was having.  The problem is, the two new ram sticks I had were not the correct size but I attempted to use them anyway.  Now prior to inserting these new ram sticks I cleaned my pc using air duster and a light suction vacuum cleaner, not sure if I got all of the dust.  Once I found that the ram sticks were not the right size I then reinserted my older ram sticks and this is when the monitor issue occurred.  A couple people had mentioned that this sounds like a bad video card, but could inserting wrong ram sticks affect the motherboard and in turn mess with the videocard?

Also, roughly 3 weeks prior to the monitor issue, the lights on the side of my case are generally dark blue (but can not confirm if this is normal as I rarely pay attention to it.)  The only reason I bring this up is because the lights began to turn red, then a sortof clear light color progressively throughout the next couple of weeks, eventually not turning on at all.  Again, I've never really noticed the lights on my pc to begin with so this could not mean a thing.

Using the wrong ram could break the motherboard, yes. That would lead to no post no boot issues. No idea about the lights. I would need to know the specific Dell computer model to look those up.

The only 100% way to know if the card is faulty is to remove it and replace it and re-test.