Set Theoryhard
0:00.0

Consider a universal set U={extallintegers}U = \{ ext{all integers} \}. Let A={x∈U∣xextisamultipleof4}A = \{ x \in U \mid x ext{ is a multiple of } 4 \}, B={x∈U∣xextisamultipleof6}B = \{ x \in U \mid x ext{ is a multiple of } 6 \}, and C={x∈U∣xextisamultipleof10}C = \{ x \in U \mid x ext{ is a multiple of } 10 \}. Which of the following is true regarding the set (A∪B)∩C(A \cup B) \cap C?