Problem

Find the set $A \cap U$.
\[
\begin{array}{l}
U=\{1,2,3,4,5,6\} \\
A=\{2,4,5,6\}
\end{array}
\]

Answer

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Answer

Final Answer: The intersection of set A and set U is \( \boxed{\{2, 4, 5, 6\}} \).

Steps

Step 1 :Given two sets U and A, where U = {1, 2, 3, 4, 5, 6} and A = {2, 4, 5, 6}.

Step 2 :We are asked to find the intersection of set A and set U. In set theory, the intersection of two sets is the set of elements that are common to both sets.

Step 3 :So, we need to find the common elements in set A and set U.

Step 4 :By comparing the elements in both sets, we find that the common elements are {2, 4, 5, 6}.

Step 5 :Therefore, the intersection of set A and set U is {2, 4, 5, 6}.

Step 6 :Final Answer: The intersection of set A and set U is \( \boxed{\{2, 4, 5, 6\}} \).

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