The Literary/Genre Question(s)
1. Do you think it is possible for a work of fiction to be literary and genre at the same time?
All works of written fiction are both literary and genre at the same time. They are written and hence literary. They are of a type and hence (of a) genre.
2. Why do you think there is a line between literary and genre, and what can writers and readers do to overcome it?
For some reason, some genres of fiction were segregated out during the 20th century and classed together as having a genre, as being "genre," in contradistinction to other genres of fiction which were thus defined as absent the qualities that marked out all such "genre fiction." This is rather like some tones of skin were segregated out during the 20th century and classed together as having a colour, as being "coloured," in contradistinction to other tones of skin which were thus defined as absent the qualities that marked out all such "coloured people." Actually "for some reason" is disingenuous; the reason for this is fairly clearly a matter of privileging one set of genres over the other, of redefining literature such that the abjected genres were denied legitimacy. The essential qualities that served as markers by which one set of genres was identified as deserving of abjection were "sensationalism" and the mass appeal / mass production that went with it.
The best way to overcome this is, I think, to call the bullshit for what it is.
3. To you, what qualifies a work of fiction as literary, genre, or both/neither?
The fact that it's written. And in a genre.
4. What do you like about literary fiction, and what do you like about genre fiction?
Everything that's great about fiction.
5. What do you like about writing literary fiction, and what do you like about writing genre fiction?
Everything that's great about writing fiction.