I’m pretty sure I already know the sad answer to this, but should the entire mathematical question in parts a, c, d, e, f in the document attached be transcribed in full Nemeth, no contractions, no spaces around signs of operation? That will be a bear for the reader.
For better and worse, you are correct that a full expression should be within Nemeth Code switch indicators, including expressions that are inconveniently made up of a lot of words.
So, yes, something like:
P(likes avocados ∩ doesn’t like Avocados)
should all be within Nemeth Code, which means no contractions and unspaced symbols of operation.