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

Question

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

Quizplus · Accepted Answer

$A \cap C$ means the set of elements that are in both $A$ and $C$. The only element that is in both $A$ and $C$ is $3$. Therefore the answer is $\{3\}$.

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

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