Q. Let D={−12,−10,−7,−2} and E={−12,−7}. What is D∪E?Choices:(A) {−12,−7}(B) {−12,−10,−7,−2}(C) {−7}(D) {−10,−2}
Understand Union of Sets: Understand the concept of union of sets.The union of two sets D and E, denoted by D∪E, is the set of all elements that are in D, or in E, or in both. To find the union, we combine the elements from both sets without repeating any elements.
List Elements in Set D: List all elements in set D. Set D contains the elements {−12,−10,−7,−2}.
List Elements in Set E: List all elements in set E.Set E contains the elements {−12,−7}.
Combine Elements from Sets: Combine the elements from both sets D and E. When we combine the elements from D and E, we get {−12,−10,−7,−2}. We do not repeat any elements that are already listed.
Write Union of Sets: Write down the union of sets D and E. The union of sets D and E, D∪E, is {−12,−10,−7,−2}.