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Given:
Universal Set 
U=4,6,7,11
Subset 
B=4,7
What is the complement of Set B in Set U?

{6,11}

{4,6,7,11}

{4,6,7}

{4,7}

Given:\newlineUniversal Set U=4,6,7,11 \mathrm{U}=4,6,7,11 \newlineSubset B=4,7 \mathrm{B}=4,7 \newlineWhat is the complement of Set B in Set U?\newline{6,11} \{6,11\} \newline{4,6,7,11} \{4,6,7,11\} \newline{4,6,7} \{4,6,7\} \newline{4,7} \{4,7\}

Full solution

Q. Given:\newlineUniversal Set U=4,6,7,11 \mathrm{U}=4,6,7,11 \newlineSubset B=4,7 \mathrm{B}=4,7 \newlineWhat is the complement of Set B in Set U?\newline{6,11} \{6,11\} \newline{4,6,7,11} \{4,6,7,11\} \newline{4,6,7} \{4,6,7\} \newline{4,7} \{4,7\}
  1. Identify Set UU and Set BB: To find the complement of Set BB in Set UU, we list all the elements in Set UU that are not in Set BB.
  2. List elements in Set U: Set U={4,6,7,11}U = \{4, 6, 7, 11\} and Set B={4,7}B = \{4, 7\}.
  3. Identify elements not in Set B: The elements in Set U that are not in Set B are 66 and 1111.
  4. Find complement of Set B: So, the complement of Set B in Set U is {6,11}\{6, 11\}.

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