Hi my gums started having inflammation and a few days ago a piece of my gum started hanging out of my mouth. That piece of gum recently turned all black. Is there anything j should be concerned of?

Yes. Of course you should be concerned. See a dentist or a periodontist.
Yes, be concerned. The gum symptoms you describe are indicative of a serious infection that requires immediate treatment. Please contact a Periodontist, a bone/gum specialist, and ask to be seen ASAP.
Absolutely. I think you might be concerned if your hand turned black! You better get to your dentist and see what is going on.