Cut the cabbage in half and remove the core from each side.
Using a sharp knife cut the cabbage in very thin slices, then chop the slices into small pieces. Place the prepared cabbage in a large mixing bowl.
In a medium bowl, combine mayonnaise, sugar, vinegar, lemon juice, salt, and pepper. Mix until smooth and creamy.
Pour the slaw dressing over the cabbage and carrots. Thoroughly mix to combine.
Refrigerate until ready to serve. Cole slaw is always better after sitting for a day, make sure to mix the slaw a few times as it sits in the fridge.
