Wash the cabbage thoroughly and slice it thinly.
Julienne the carrots to a similar size.
Julienne the cucumber as well.
Put the sliced cabbage, carrots, and cucumber into a bowl.
Add a pinch of salt and sugar and mix well.
Make the dressing by combining mayonnaise, vinegar, lemon juice, and pepper.
Add the dressing to the vegetables and mix thoroughly.
Transfer to a plate and serve.