Let U={1, 2, 3, 4, 5, 6, 7, 8, 9, 10} , A={4, 5, 6, 10} , and B={4, 5, 10}.

I'm not exactly sure why set U is included in this problem as it is irrelevant to the original question.

 

\(\text{A}=\{4,5,6,10\}\hspace{1mm}\text{and}\hspace{1mm}\text{B}=\{4,5,10\}\)

 

\(\text{A}\cap \text{B}=\hspace{1mm}?\)

 

\(\text{A}\cap \text{B}\) is mathematical notation for the intersection of sets A and B. The intersection of two sets is a new set that contains all the elements from the individual sets. This means that all the numbers in set A and B will be smooshed into a new set.

 

\(\text{A}\cap \text{B}=\{4,5,6,10\}\)