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Let M={6,9,12}M = \{6, 9, 12\} and N={4,6,7,9,12,15}N = \{4, 6, 7, 9, 12, 15\}. What is MNM \cap N?\newlineChoices:\newline(A){4,6,7,9,12,15}\{4, 6, 7, 9, 12, 15\}\newline(B){6,9}\{6, 9\}\newline(C){6,9,12}\{6, 9, 12\}\newline(D){6,7,12,15}\{6, 7, 12, 15\}

Full solution

Q. Let M={6,9,12}M = \{6, 9, 12\} and N={4,6,7,9,12,15}N = \{4, 6, 7, 9, 12, 15\}. What is MNM \cap N?\newlineChoices:\newline(A){4,6,7,9,12,15}\{4, 6, 7, 9, 12, 15\}\newline(B){6,9}\{6, 9\}\newline(C){6,9,12}\{6, 9, 12\}\newline(D){6,7,12,15}\{6, 7, 12, 15\}
  1. Identify Common Elements: To find the intersection of two sets, we need to identify the elements that are common to both sets. The intersection is denoted by MNM \cap N.
  2. List Elements of Sets: List the elements of set MM: M={6,9,12}M = \{6, 9, 12\}. List the elements of set NN: N={4,6,7,9,12,15}N = \{4, 6, 7, 9, 12, 15\}.
  3. Compare Elements: Compare the elements of set MM with the elements of set NN to find the common elements.\newlineThe common elements are 66, 99, and 1212.
  4. Find Intersection: The intersection of sets MM and NN, MNM \cap N, is the set of elements that are in both MM and NN. Therefore, MN={6,9,12}M \cap N = \{6, 9, 12\}.

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