The holidays are a hectic time for most people. Between last-minute shopping (we know we can't be the only ones), parties, dinners, you name it - we have a great deal of things to do and places to go!
If you are a retail business, this might be the busiest time of the year for you, so it's business as normal. If you are in a completely different industry perhaps this is the slowest time of year for your business.
Regardless of whether or not your business is open during the holidays, it is important to your business to remain active on social platforms during the holiday break. Why spend so much prior time and investment on building and engaging an audience if you are just going to go cold turkey every time your business is closed?