Using the slicer attachment: Discard soft, outer leaves. Cut cabbage into wedges to fit feed tube. Discard core. Slice, using very light pressure. If too thick, chop in batches on the Steel Blade, using quick on/off pulses. 

Slice green pepper, using medium pressure. Empty into a large bowl. 

Using the grater attachment: Use the mini tube if your machine has one. Grate carrots, using firm pressure. Add to cabbage. 

Using the steel blade: Drop garlic and green onions through feed tube while machine is running; process until minced. Add to cabbage. 

Combine ingredients for marinade in a saucepan or microwaveable bowl. Heat until almost boiling (two to three minutes on high in the microwave), stirring occasionally. Pour hot marinade over coleslaw mixture and mix well. Refrigerate.