I'm showing ++2 ketones with a BG of 11.2, I haven't been dieting and in fact, ate far more sugar than usual (biscuits and cake). I had +1 ketones with a BG of 7 yesterday. I'm a type 2 on basal insulin and metformin
I think and Catherine may confirm this, that it is possible to have DKA with low-ish blood levels. My suggestion would be to seek urgent medical attention.