Problem

Let $D=\{8,11,13\}, E=\{8,10,11,12\}$ and $F=\{7,9,10,11,13\}$.
List the elements in the set $(D \cup E) \cap F$.
$(D \cup E) \cap F=\{\}$
(Use a comma to separate answers as needed. List the elements in order with no duplicates.)

Answer

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Answer

The elements in the set $(D \cup E) \cap F$ are \(\boxed{10, 11, 13}\).

Steps

Step 1 :Let $D=\{8,11,13\}, E=\{8,10,11,12\}$ and $F=\{7,9,10,11,13\}$.

Step 2 :Find the union of D and E, which is $D \cup E = \{8, 10, 11, 12, 13\}$.

Step 3 :Find the intersection of the result with F, which is $(D \cup E) \cap F = \{10, 11, 13\}$.

Step 4 :The elements in the set $(D \cup E) \cap F$ are \(\boxed{10, 11, 13}\).

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