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

Question

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

Quizplus · Accepted Answer

$\bar { A }$ represents the complement of set A in U, which includes all elements not in A. Thus, $\bar { A } = \{ 1,3,5,7,9,10 \}$. The union of sets B and C, $B \cup C$, is $\{ 2,3,4,5,10 \}$. The intersection of $\bar { A }$ and $B \cup C$ is $\{ 3,5,10 \}$, which is option D.

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

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