Wash and peel beets. Cut each beet in half, and each half into four wedges. To prevent staining your countertop, place a dark-colored towel or paper towels under your cutting board. Steam over boiling water until tender when pierced with a fork, 15 to 20 minutes.
Mix lemon juice, vinegar, apple juice concentrate, mustard, and dill in a serving bowl. Add beets and toss to mix. Serve hot or cold.
Stored in a covered container in the refrigerator, leftover Hot or Cold Beet Salad will keep for up to 3 days. Makes about 3 cups.