Let $\begin{array} { l }
U = \{ 1,2,3,4,5,6,7,8,9,10 \} \
A = \{ 1,2,4,5,6 \} \
B = \{ 1,2,3,5,6 \}
\end{array}$ List all the members of the set. $\bar { A }$
A) $\{ 1,2,3,5,6 \}$
B) $\{ 4,7,8,9,10 \}$
C) $\{ 1,2,4,5,6 \}$
D) $\{ 3,7,8,9,10 \}$
E) $\varnothing$

Question

Let $\begin{array} { l } 
U = \{ 1,2,3,4,5,6,7,8,9,10 \} \
A = \{ 1,2,4,5,6 \} \
B = \{ 1,2,3,5,6 \}
\end{array}$ List all the members of the set. $\bar { A }$
A) $\{ 1,2,3,5,6 \}$
B) $\{ 4,7,8,9,10 \}$
C) $\{ 1,2,4,5,6 \}$
D) $\{ 3,7,8,9,10 \}$
E) $\varnothing$

Quizplus · Accepted Answer

The complement of set A, denoted by $\bar { A }$, contains all the elements in the universal set U that are not in set A. In this case, the elements in set A are $\{ 1,2,4,5,6 \}$. Therefore, the elements in $\bar { A }$ are $\{ 3,7,8,9,10 \}$, which is option D.

Let U={1,2,3,4,5,6,7,8,9,10}A={1,2,4,5,6}B={1,2,3,5,6}\begin{array} { l } U = \{ 1,2,3,4,5,6,7,8,9,10 \} \\A = \{ 1,2,4,5,6 \} \\B = \{ 1,2,3,5,6 \}\end{array}U={1,2,3,4,5,6,7,8,9,10}A={1,2,4,5,6}B={1,2,3,5,6}​

Let $\begin{array} { l } U = \{ 1,2,3,4,5,6,7,8,9,10 \} \\A = \{ 1,2,4,5,6 \} \\B = \{ 1,2,3,5,6 \}\end{array}$