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Let D={−12,−10,−7,−2}D = \{-12, -10, -7, -2\} and E={−12,−7}E = \{-12, -7\}. What is D∪ED \cup E?\newlineChoices:\newline(A){−7}\{-7\}\newline(B){−12,−7}\{-12, -7\}\newline(C){−10,−2}\{-10, -2\}\newline(D){−12,−10,−7,−2}\{-12, -10, -7, -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 D∪ED \cup E?\newlineChoices:\newline(A){−7}\{-7\}\newline(B){−12,−7}\{-12, -7\}\newline(C){−10,−2}\{-10, -2\}\newline(D){−12,−10,−7,−2}\{-12, -10, -7, -2\}
  1. Understand Union of Sets: Understand the concept of union of sets.\newlineThe union of two sets DD and EE, denoted by D∪ED \cup E, is the set of 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 Set D: List the elements of set D.\newlineSet D contains the elements {−12,−10,−7,−2}\{-12, -10, -7, -2\}.
  3. List Set E: List the elements of set E.\newlineSet E contains the elements {−12,−7}\{-12, -7\}.
  4. Combine Sets for Union: Combine the elements of sets DD and EE to form the union.\newlineThe union will include all unique elements from both sets. Since −12-12 and −7-7 are in both sets, we only list them once. The union is {−12,−10,−7,−2}\{-12, -10, -7, -2\}.

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