Place the shredded cabbage and carrots in a large mixing bowl, combining them evenly.
In a separate small bowl, whisk together mayonnaise, apple cider vinegar, sugar, salt, and black pepper until smooth and well combined.
Pour the dressing over the shredded vegetables, stirring gently to coat all the ingredients evenly.
Continue mixing until the mixture looks uniformly coated and slightly creamy, ensuring every shred is covered with dressing.
Let the coleslaw sit for about 10 minutes in the refrigerator to allow the flavors to meld and the cabbage to soften slightly.
Give the coleslaw a gentle toss before serving to redistribute the dressing and enjoy the crunchy, tangy goodness.