Make the slaw: Cover raisins with boiling water in a small bowl, and let soak for 15 minutes. Drain. Toss together raisins, cabbage, carrots, and apple in a large bowl.
Make the dressing: Whisk together vinegar, honey, mustard, jalapeno, salt, and pepper. Pour in olive oil in a slow, steady stream, whisking constantly until emulsified. Toss slaw with dressing just before serving.