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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: $\newline$ Universal Set $\mathrm{U}=1,2,3,4,5,9,12$ $\newline$ Subset $B=2,5,12$ $\newline$ What is the complement of Set B in Set U? $\newline$ $\{1,3,4,9\}$ $\newline$ $\{2,3,5,9,12\}$ $\newline$ $\{1,2,3,4,5,9,12\}$ $\newline$ $\{2,5,12\}$

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Convert between repeating decimals and fractions

Full solution

Q. Given:

\newline

Universal Set

\mathrm{U}=1,2,3,4,5,9,12

\newline

Subset

B=2,5,12

\newline

What is the complement of Set B in Set U?

\newline

\{1,3,4,9\}

\newline

\{2,3,5,9,12\}

\newline

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

\newline

\{2,5,12\}

List Set U Elements: List out all the elements in Set U. $\newline$ $U = \{1, 2, 3, 4, 5, 9, 12\}$
List Set B Elements: List out all the elements in Set B. $\newline$ $B = \{2, 5, 12\}$
Find Complement: To find the complement of Set $B$ in Set $U$ , remove all the elements of Set $B$ from Set $U$ . $\newline$ So, we cross out the elements $2$ , $5$ , and $12$ from Set $U$ .
Remaining Elements: After removing, we're left with the elements $\{1, 3, 4, 9\}$ in the complement of Set $B$ .

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