Using a food processor or box grater shred cabbage and carrots. Place in a large bowl. Set aside.
In a medium bowl, combine mayonnaise, sugar, vinegar, lemon juice salt and pepper. Mix until smooth and creamy.
Pour over cabbage and carrots. Stir to thoroughly combine. Refrigerate until ready to serve.
Notes
For simplicity sake I use a food processor to shred the cabbage and it makes the job so simple. You can also buy pre-shredded cabbage and that would make this ready to pull together in about 5 minutes. Use whatever method you have time for.