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Given:
Universal Set 
U=1,2,3,4,5,9,12
Subset 
B=2,5,12
What is the complement of Set B in Set U?

{1,3,4,9}

{2,3,5,9,12}

{1,2,3,4,5,9,12}

{2,5,12}

Given:\newlineUniversal Set U=1,2,3,4,5,9,12 \mathrm{U}=1,2,3,4,5,9,12 \newlineSubset B=2,5,12 B=2,5,12 \newlineWhat is the complement of Set B in Set U?\newline{1,3,4,9} \{1,3,4,9\} \newline{2,3,5,9,12} \{2,3,5,9,12\} \newline{1,2,3,4,5,9,12} \{1,2,3,4,5,9,12\} \newline{2,5,12} \{2,5,12\}

Full solution

Q. Given:\newlineUniversal Set U=1,2,3,4,5,9,12 \mathrm{U}=1,2,3,4,5,9,12 \newlineSubset B=2,5,12 B=2,5,12 \newlineWhat is the complement of Set B in Set U?\newline{1,3,4,9} \{1,3,4,9\} \newline{2,3,5,9,12} \{2,3,5,9,12\} \newline{1,2,3,4,5,9,12} \{1,2,3,4,5,9,12\} \newline{2,5,12} \{2,5,12\}
  1. List Set U Elements: List out all the elements in Set U.\newlineU={1,2,3,4,5,9,12}U = \{1, 2, 3, 4, 5, 9, 12\}
  2. List Set B Elements: List out all the elements in Set B.\newlineB={2,5,12}B = \{2, 5, 12\}
  3. Find Complement: To find the complement of Set BB in Set UU, remove all the elements of Set BB from Set UU.\newlineSo, we cross out the elements 22, 55, and 1212 from Set UU.
  4. Remaining Elements: After removing, we're left with the elements {1,3,4,9}\{1, 3, 4, 9\} in the complement of Set BB.

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