Let $A = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\}$ and $B = \{2, 3, 5, 7\}$. Find $A \cap B$ and hence show that $A \cap B = B$.

(N/A) The intersection of two sets $A$ and $B$,denoted by $A \cap B$,is the set of all elements which are common to both $A$ and $B$.
Given $A = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\}$ and $B = \{2, 3, 5, 7\}$.
The common elements in $A$ and $B$ are $2, 3, 5,$ and $7$.
Therefore,$A \cap B = \{2, 3, 5, 7\}$.
Since the set $\{2, 3, 5, 7\}$ is exactly the set $B$,we have $A \cap B = B$.