Final answer:
The false statement about fungi is that they are photosynthetic. Fungi, including yeasts and molds, have cell walls made of chitin, are eukaryotic, but they do not perform photosynthesis.
Step-by-step explanation:
The statement about fungi that is FALSE is: E) fungi are photosynthetic.
Fungi do have cell walls, as stated in A), and these are made of chitin rather than cellulose. Yeasts, mentioned in B), are indeed unicellular, distinguished from other fungi by their single-cell nature. Mold, referenced in C), refers to fungus that is multicellular, forming a network of thread-like structures called hyphae. Statement D) is correct in that fungi are eukaryotes, meaning their cells have a nucleus and other organelles enclosed within membranes. However, fungi do not perform photosynthesis; they are saprotrophic organisms that absorb nutrients from their environment.