1. The problem asks us to identify which of the given sets is finite. 2. A finite set is a set with a limited number of elements. An infinite set has unlimited elements. 3. Let's analyze each set: - A. $\{2, 4, 6, 8, \dots\}$ represents even numbers starting from 2 and continuing indefinitely, so it is infinite. - B. $\{1, 2, 3, 4, \dots\}$ represents natural numbers starting from 1 and continuing indefinitely, so it is infinite. - C. $\{\dots, 2, 3, 5, 7\}$ appears to be a set of prime numbers or some infinite sequence extending indefinitely in both directions, so it is infinite. - D. $\{3, 6, 9, 12\}$ is a set with exactly four elements, so it is finite. 4. Therefore, the finite set is option D: $\{3, 6, 9, 12\}$. Final answer: D is the finite set.