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

Question

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

Quizplus · Accepted Answer

The intersection of two sets is the set of elements that are in both sets. The elements that are in both sets $A$ and $B$ are 6, so the answer is $\{6\}$.

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

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