What you can actually see in the figure that settles it:
Fig. 2.10a shows a nucleoid — genetic material lying naked in the cytoplasm — with ribosomes scattered around and an appendage for locomotion. There is no nuclear membrane and no organelle bounded by its own membrane.
Fig. 2.10b and 2.10c both show a nucleus with a nucleolus inside a nuclear membrane, together with mitochondria, endoplasmic reticulum, Golgi body, lysosome and vacuole — every one of them membrane-bound.
Characteristic
Prokaryotic cell
Eukaryotic cell
Diameter of a typical cell
1 to 10 µm
10 to 100 µm
Membrane-bound nucleus
Absent
Present
Membrane-bound organelles
Absent
Present
Number of cells in an organism
Usually unicellular
Can be unicellular or multicellular
Why it happens: internal membranes are what make a eukaryotic cell possible. They divide the cell into rooms, so incompatible reactions can run side by side at the same time — digestive enzymes stay sealed in lysosomes instead of dissolving the cell, energy release is confined to mitochondria, protein processing to the ER and Golgi. A prokaryote has one open compartment, so all its chemistry must share a single space; that is one reason it stays small. The size figures follow from the same logic: 1–10 µm against 10–100 µm is a tenfold difference in length, which is a thousandfold difference in volume.
Note on Table 2.2: the book's first row reads “Primitive nucleus — Present in prokaryotic, Absent in eukaryotic”. Read it as “primitive nucleus (nucleoid)”, which is indeed present only in prokaryotic cells; the last two rows then correctly say that a membrane-bound nucleus is present only in eukaryotic cells.