Begin by preparing the carrots: wash, peel, and then shred them using a food processor or a box grater. Set the shredded carrots aside in a large mixing bowl.
In a separate medium bowl, whisk together the orange juice, olive oil, apple cider vinegar, honey, grated ginger, Dijon mustard, salt, and black pepper until thoroughly combined. This forms your dressing.
Pour the prepared citrus-ginger dressing over the shredded carrots. Toss gently to ensure all the carrots are evenly coated.
Fold in the chopped fresh mint and the toasted slivered almonds. Give the mixture another gentle toss.
Cover the bowl and refrigerate the slaw for at least 30 minutes before serving. This allows the flavors to meld and the carrots to slightly soften.
Before serving, taste and adjust seasoning if necessary. Serve chilled.