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Let M={−10,−5}M = \{-10, -5\} and N={−6,−5,−4}N = \{-6, -5, -4\}. What is M∪NM \cup N?\newlineChoices:\newline(A){−5}\{-5\}\newline(B){−10,−6,−5,−4}\{-10, -6, -5, -4\}\newline(C){−10}\{-10\}\newline(D){−10,−6,−4}\{-10, -6, -4\}

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Q. Let M={−10,−5}M = \{-10, -5\} and N={−6,−5,−4}N = \{-6, -5, -4\}. What is M∪NM \cup N?\newlineChoices:\newline(A){−5}\{-5\}\newline(B){−10,−6,−5,−4}\{-10, -6, -5, -4\}\newline(C){−10}\{-10\}\newline(D){−10,−6,−4}\{-10, -6, -4\}
  1. Understand Union of Sets: Understand the concept of union of sets. The union of two sets MM and NN, denoted by M∪NM \cup N, is the set of elements that are in MM, in NN, or in both. To find the union, we combine the elements from both sets without repeating any elements.
  2. List Set M: List the elements of set M.\newlineSet M = {−10,−5}\{-10, -5\}
  3. List Set NN: List the elements of set NN.\newlineSet N={−6,−5,−4}N = \{-6, -5, -4\}
  4. Combine Sets for Union: Combine the elements of sets MM and NN to form the union.M∪N={−10,−5,−6,−4}M \cup N = \{-10, -5, -6, -4\}Note that −5-5 is in both sets, but we only list it once in the union.
  5. Write Union Set: Write the union set in ascending order (optional, for clarity).\newlineM∪N={−10,−6,−5,−4}M \cup N = \{-10, -6, -5, -4\}
  6. Match with Choices: Match the union set with the given choices.\newlineThe correct choice that matches the union set is (B){−10,−6,−5,−4}(B)\{-10, -6, -5, -4\}.

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