In a large mixing bowl, combine the shredded green cabbage and grated carrots.
In a separate small bowl, whisk together the mayonnaise, apple cider vinegar, sugar, celery seeds, salt, black pepper, and Dijon mustard until the dressing is smooth.
Pour the dressing over the cabbage and carrot mixture.
Toss the vegetables thoroughly until evenly coated with the dressing.
Cover the bowl and refrigerate for at least 1 hour prior to serving to allow flavors to meld.