Which of the following skin conditions is characterized by dry, itchy patches of skin?

Eczema is indeed characterized by dry, itchy patches of skin, making it the correct answer. This skin condition, also known as atopic dermatitis, often appears in areas like the elbows, knees, and face, and can manifest as red, inflamed patches that are often accompanied by intense itching. The skin's barrier function is impaired in eczema, leading to moisture loss and increased susceptibility to irritants, which intensifies the dryness and itchiness.

In contrast, the other conditions mentioned have distinct characteristics: psoriasis involves the rapid proliferation of skin cells leading to thick, scaly plaques; acne is primarily associated with clogged pores and inflamed lesions due to excess oil and bacteria; and rosacea typically presents with facial redness, visible blood vessels, and sometimes acne-like bumps, but does not generally feature dry, itchy patches. Understanding these differences helps in the appropriate identification and treatment of various skin conditions.