In a food processor fitted with the julienne disc, if you have it, shred the peeled jicama. Otherwise, use the the shredding disc. You should have about 4 cups. Transfer the jicama to a serving bowl with the cabbage, radish, jalapeño and mint.
In a medium bowl, whisk together orange juice, lime juice, olive oil, honey and salt.
Pour enough dressing over the jicama and vegetables to coat lightly. Taste for seasoning. Serve immediately or refrigerate for several hours.