Problem

Given $A=\{11,13,15,17,19\}$ and $B=\{10,11,12,13,14,15\}$, find the intersection of set $A$ and set $B$. (Enter your answer in roster notation.)
$A \cap B=$

Answer

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Answer

Final Answer: $A \cap B = \boxed{\{11, 13, 15\}}$

Steps

Step 1 :Given sets $A=\{11,13,15,17,19\}$ and $B=\{10,11,12,13,14,15\}$, we are asked to find the intersection of set $A$ and set $B$. The intersection of two sets is the set of elements that are common to both sets.

Step 2 :So, we need to find the elements that are present in both set $A$ and set $B$.

Step 3 :Comparing the elements of set $A$ and set $B$, we find that the common elements are $11$, $13$, and $15$.

Step 4 :Therefore, the intersection of set $A$ and set $B$ is $\{11, 13, 15\}$.

Step 5 :Final Answer: $A \cap B = \boxed{\{11, 13, 15\}}$

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