Finely shred the cabbage and carrots into very thin, thread-like pieces and place in a large bowl.
In a separate bowl, whisk together mayonnaise, vinegar, sugar, salt, and black pepper until smooth.
Pour the dressing over the cabbage and carrots.
Toss thoroughly until all the cabbage is lightly coated without being overdressed.
Cover and refrigerate for at least 1 hour before serving to allow flavors to blend and cabbage to soften slightly.
Notes
Slice the cabbage extremely thin for authentic texture.Do not overdress the slaw; it should be light, not heavy.Chill time is important for best flavor.Stir before serving if liquid settles at the bottom.