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Let D={12,10,7,2}D = \{-12, -10, -7, -2\} and E={12,7}E = \{-12, -7\}. What is DED \cup E?\newlineChoices:\newline(A) {12,7}\{-12, -7\}\newline(B) {12,10,7,2}\{-12, -10, -7, -2\}\newline(C) {7}\{-7\}\newline(D) {10,2}\{-10, -2\}

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Q. Let D={12,10,7,2}D = \{-12, -10, -7, -2\} and E={12,7}E = \{-12, -7\}. What is DED \cup E?\newlineChoices:\newline(A) {12,7}\{-12, -7\}\newline(B) {12,10,7,2}\{-12, -10, -7, -2\}\newline(C) {7}\{-7\}\newline(D) {10,2}\{-10, -2\}
  1. Understand Union of Sets: Understand the concept of union of sets.\newlineThe union of two sets DD and EE, denoted by DED \cup E, is the set of all elements that are in DD, or in EE, or in both. To find the union, we combine the elements from both sets without repeating any elements.
  2. List Elements in Set D: List all elements in set D. Set D contains the elements {12,10,7,2}\{-12, -10, -7, -2\}.
  3. List Elements in Set E: List all elements in set EE.\newlineSet EE contains the elements {12,7}\{-12, -7\}.
  4. Combine Elements from Sets: Combine the elements from both sets DD and EE. When we combine the elements from DD and EE, we get {12,10,7,2}\{-12, -10, -7, -2\}. We do not repeat any elements that are already listed.
  5. Write Union of Sets: Write down the union of sets DD and EE. The union of sets DD and EE, DED \cup E, is {12,10,7,2}\{-12, -10, -7, -2\}.

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