Problem

Let $A=\{2,5,6,13,15\}$ and $E=\{6\}$. Insert $\subseteq$ or $\nsubseteq$ to make the statement true.

Insert $\subseteq$ or $\nsubseteq$ to make the statement true.
$\mathrm{A} \nabla \mathrm{E}$

Answer

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Answer

\(\boxed{A \nsubseteq E}\) is the final answer.

Steps

Step 1 :Let $A=\{2,5,6,13,15\}$ and $E=\{6\}$. We are asked to insert $\subseteq$ or $\nsubseteq$ to make the statement true.

Step 2 :The question is asking whether set A is a subset of set E or not. A subset is a set whose elements are all members of another set.

Step 3 :In this case, set A is $\{2,5,6,13,15\}$ and set E is $\{6\}$. We can see that not all elements of set A are in set E.

Step 4 :Therefore, A is not a subset of E. We should use the symbol $\nsubseteq$ to make the statement true.

Step 5 :\(\boxed{A \nsubseteq E}\) is the final answer.

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