Core apples and cut into thin slices; cut slices into matchsticks (you should have around 3-½ cups julienned apples).
Place in a large bowl and toss with lemon juice.
Add carrots and stir to combine.
In a small bowl, whisk together mayonnaise, yogurt, honey, rice wine vinegar, salt and pepper, to taste.
Pour over apple/carrot mixture and stir to coat.
Mix in crumbled feta cheese and dried cranberries; taste and adjust seasonings, adding more salt and pepper, if necessary.
Place in an airtight container and refrigerate for at least 30 minutes to an hour to allow the flavors to blend, or longer if you prefer softer carrots and apples.
In case a bit of liquid accumulates at the bottom of the bowl, serve using a slotted spoon.
