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