Recently I am facing a dilemma: I am living in The Netherlands and in this area it is encouraged to separate out plastic trash for recycling.
Usually my plastic trash consists of food packages and sheets (the point is: let us assume the trash itself does not contain a bag or something that can contain trash easily).

Now there are two scenarios:
1. Put plastic directly into the mixed container at my house (gets picked up on a fixed schedule and has sufficient capacity)
2. Put plastic inside a bag, and bring it to the recycling point (short walk)

As I was opening a bag to contain the plastic trash this made me wonder:
Is it actually better for the environment to separate the plastic at home, or put it in the mixed trash (which may see separation later?) and avoid the production of an additional bag. In short:

# Is the recycling of 1 bag of plastic trash environmentally worth the production of 1 plastic bag to hold it?