Problem

K
Determine whether $\subseteq$, C, both, or neither can be placed in the blank to make the statement true.
\[
\{1,4,7,10,13\} \_\{7,1,4,10,13\}
\]
Choose the correct answer below.
only $C$
only $\subseteq$
both $\subseteq \& \subset$
None of the above

Answer

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Answer

Final Answer: \(\boxed{\text{both } \subseteq \text{ and } C}\)

Steps

Step 1 :The question is asking to determine the correct relation between two sets. The first set is {1,4,7,10,13} and the second set is {7,1,4,10,13}. The order of elements in a set does not matter, so these two sets are actually the same.

Step 2 :Therefore, the correct relation is \(C\) (equals), and also \(\subseteq\) (is a subset of), because every set is a subset of itself.

Step 3 :Final Answer: \(\boxed{\text{both } \subseteq \text{ and } C}\)

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