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

Question

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

Quizplus · Accepted Answer

First, find $B \cap C = \{ 5,7 \}$. Then, $A \cup ( B \cap C ) = \{ 2,4,6,8 \} \cup \{ 5,7 \} = \{ 2,4,5,6,7,8 \}$.

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

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