Using a sharp knife or mandoline, finely shred the green cabbage until you have a mountain of crisp, thin strands.
In a large mixing bowl, whisk together the white vinegar, mayonnaise, sugar, salt, and black pepper until the mixture is smooth and begins to thicken slightly.
Pour the dressing over the shredded cabbage and fold gently with a spatula or tongs, ensuring each strand is thoroughly coated with the tangy dressing.
Allow the coleslaw to sit for at least 10 minutes to let the flavors meld and the cabbage soften slightly, while still maintaining its crunch.
Give the coleslaw a final toss before serving to redistribute the dressing and check for seasoning, adding more salt or vinegar if desired.
Serve immediately or chill for up to a few hours to enhance the flavor and texture. Enjoy this vibrant, crunchy side dish with your favorite meals.