Mix vinegar and sugar in the bottom of a bowl and whisk in oil. Add slaw to bowl. Chop fennel fronds and add to cabbage. Quarter the fennel bulb, cut away the core and thinly slice, add to cabbage. Add the celery and basil to the salad, toss to combine, season liberally with salt and pepper, to your taste.
Recipe courtesy of Rachael Ray, 2007