Inflammatory is an adjective to describe a person who decides to act like a jerk in order to make someone else mad. They may even say manipulative things or anything to get a reaction and incite negative emotions such as anger, sadness, anxiety, etc.
For example, a person could say, "you don't want to see me." to a girlfriend who actually misses the boy, but he says an inflammatory line to get attention from her and maybe even just to mess with her.
There is also a medical definition for the word inflammatory.
Jake was being inflammatory toward his ex girlfriend. He saw she dyed her hair from blonde to black, and when he saw her wearing it straight down, he told her she looks like the chick from The Ring movie! She was so pissed she started yelling at him!