Complicated question. Why does your textbook only give SN2 product? I'm guessing your book is concentrating a discussion of SN2 reactions so elimination reactions have been overlooked. I am only guessing. If your book indicated the reaction gave a 93% yield of (2S)-product, then I'm wrong.
If you were using Brown, Foote, and Iverson, then their rule of thumb that bases with a pKa of greater than 12 (of the conjugate acid), give elimination. If that rule of thumb were applied, then elimination would be expected. I don' know what the product is. I would expect both. Can anyone look up this or a similar example to test my theory?