1. Preheat oven to 400ºF. Peel carrots and cut into 1/4-inch-thick slices on the diagonal. On a large baking sheet lined with foil, toss carrots with oil, salt and pepper. Roast, shaking sheet a couple of times, until carrots are tender and caramelized around edges, about 20 minutes. Let cool.

2. Spread pecans on a baking sheet; bake until toasted and fragrant, shaking sheet once, about 7 minutes. Transfer pecans to a bowl; let cool.

3. Peel oranges and grapefruit. Working over a bowl, cut between membranes to release segments.

4. Make dressing: Whisk together all ingredients and season with salt and pepper. Just before serving, toss all salad ingredients together with dressing.