In a large mixing bowl, combine the shredded green cabbage, shredded carrots, and shredded red cabbage.

In a separate bowl, whisk together the mayonnaise, crumbled blue cheese, apple cider vinegar, honey, Dijon mustard, black pepper, and salt until smooth.

Pour the dressing over the cabbage mixture and toss until the vegetables are well coated.

Refrigerate for at least 30 minutes before serving to allow flavors to meld.