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

Question

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

Quizplus · Accepted Answer

The intersection of sets A and B, $A \cap B$, results in an empty set since A and B have no elements in common. Therefore, intersecting this result with set C still yields an empty set, as there are no elements to intersect with C.

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

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