Plastic covered? Polycarbonate?
It all depends on the amount of sunlight you get. One day of 20 degrees with overcast skies isn't the same as a 20 degree day with sunny skies. Technically, I'm zone 6b. I'm tucked up against the lake in SW MI. I don't find the climate zones help that much. I'm supposed to be warmer than you, BUT, I'd love to have 20-30's all winter with just a few days down into the 10's.
However, I can keep lettuce, spinach, onions, and beets alive all winter. I try to get it up to harvest size before mid-Nov. Then I cover with frost blankets and harvest as needed. The lettuce still grows through Jan, but it's very, very slow. My greenhouse is plastic covered- 1 layer. I don't have enough sunlight to grow much else that my family will eat.