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To make the vinaigrette, whisk together the lime juice, cumin, lime zest, garlic, mustard, salt and pepper. Whisk in the olive oil. Set aside.
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To make the salad, bring a saucepan three-fourths full of water to a boil. Add the shrimp and cook until they curl and turn pink, about 3 minutes. Drain and pat dry. Peel and devein and place in a large non-aluminum bowl. Add half of the vinaigrette to the shrimp, toss well, and let stand for 10 minutes.
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Meanwhile, halve, pit and peel the avocados and cut lengthwise into slices 1/2 inch thick. Core and halve the tomatoes and cut into wedges 1/2 inch wide. Add the avocados, tomatoes, and cilantro to the shrimp and toss gently.
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Place the salad greens in a separate bowl. Whisk the remaining vinaigrette and pour over the greens.
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Toss well. Divide the greens among individual plates. Top with the shrimp mixture. Season each serving with several grinds of pepper and serve at once.