I’ll take a stab at this.
Could be a number of reasons that your text makes this claim.
1. Availability of mono- and disaccharides
Simple sugars are not as common as polysaccharides so perhaps your text is implying that you need the latter simply because there’s just no significant or adequate source of the former.
2. Storage function of polysaccharides
Stored energy is crucial, and humans store energy as complex carbohydrates such as glycogen. Similar to the above point, you need a lot of monosaccharides to match one molecule of a complex carb. Glycogen is a long-term energy reserve that is crucial to metabolic function. Perhaps your text is suggesting that complex carbs are essential for physiological processes, not that you necessarily need to eat them to live.
3. Metabolism
Complex carbs take longer to metabolise and offer a long-term source of energy. Simple carbs are processed quickly, therefore they enter the bloodstream and are used up rapidly. As such, you could possibly be eating non-stop in order to function without complex carbs. Complex carbs provide more energy per gram (if I recall correctly) and deliver this energy over a longer period of time, hence we don't "hit the wall" when we stop eating.
Of course, I guess if you front-loaded enough glucose you could build your own internal store of complex carbs, which would lead back to option 2, above.
4. Book is wrong
Surprisingly, this happens fairly often. Perhaps it’s a misprint or some statement that isn’t quite accurate when taken literally but as a general rule is a “safe assumption”. This is more common in a math text, to the point where you’d be hard pressed to find any math text that doesn’t have at least one error in it.
Off the top of my head, I honestly can’t think of a definitive reason that explains why your question isn’t feasible. I’m no physiologist and my background is in a totally different field of biology (and I shudder to think of how much I’ve forgotten along the way) but it is a very good question and one that I plan on digging around for an answer to.