Final answer:
Bacteria indeed possess both a cell wall and a cell membrane, with the cell wall containing peptidoglycan and differing in complexity between Gram-positive and Gram-negative bacteria.
Step-by-step explanation:
The statement that bacteria have a cell wall and cell membrane is true. Bacteria's cell walls contain peptidoglycan, which is a complex polymer made of sugars and amino acids, giving them structural support and shape. The complexity of the cell wall can vary with Gram-positive bacteria having a single but thick peptidoglycan layer and Gram-negative bacteria having a thinner peptidoglycan layer, which is surrounded by an additional outer membrane with lipopolysaccharides. The extra structures such as a capsule can enhance bacterial adherence to surfaces, and specialized extensions like flagella, pili, or fimbriae serve various functions including motility and DNA transfer.