Coarse cut cabbage and carrot to start your coleslaw, and place into a food processor. Pulse the processor to chop cabbage to desired thicker or thinner consistency.
Place into deeper bowl, that will be adequate for mixing without overflow.
In a separate bowl, use a whisk to mix together the mayonnaise, white vinegar, sweetener, celery seed and onion powder. Be sure to whisk out all of the lumps from the mayo.
Mix that mixture into the chopped cabbage and carrot, and mix well.
This can be served right away, but your coleslaw is much better when place in an air tight container, and store in refrigerator for about 24 hours.
Notes
Whether you like your coleslaw on the sweeter side, or the not so sweet side, just adjust the amount of sweetener you add by mixing in 1 teaspoon at a time.You may want to add a little extra celery seed and onion powder in as well.