Difference between "unlikeable" and "dislikeable"?

Solution 1:

Assume there are three states of fondness for something.

• Like
• Neither like nor dislike
• Dislike

Disliking something is not the same as not liking something. If I don't like peas, I will eat them with no pleasure. If I dislike peas, I will actually find them nasty.

So, dislikeable is something that's easy to dislike.

Unlikeable is something that's difficult to like.

Solution 2:

According to the definitions of unlikeable:

Adj. 1. unlikeable - (of characters in literature or drama) tending to evoke antipathetic feelings; "all the characters were peculiarly unsympathetic" 2. unlikeable - difficult or impossible to like; "a disagreeable and unlikable old woman"

and dislikeable:-

Definition: easy to dislike

the difference would appear to be that an unlikeable thing is something you don't or can't like, and a dislikeable thing is something you could quite easily not like (but that you have no particular aversion to at the moment).