Problem

Use $\subseteq$ or $\nsubseteq$ in the blank to make a true statement. $\{d, e, i\}$ $\{d, d, e, e, i, i\}$
$\subseteq$
$\nsubseteq$

Answer

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Answer

Final Answer: $\boxed{\subseteq}$

Steps

Step 1 :The question is asking whether the set $\{d, e, i\}$ is a subset of the set $\{d, d, e, e, i, i\}$.

Step 2 :In set theory, a set A is a subset of a set B if every element of A is also an element of B.

Step 3 :The repetition of elements in a set does not change the set itself, because sets are collections of distinct objects.

Step 4 :Therefore, the set $\{d, d, e, e, i, i\}$ is actually the same as the set $\{d, e, i\}$.

Step 5 :So, the set $\{d, e, i\}$ is a subset of the set $\{d, d, e, e, i, i\}$.

Step 6 :Final Answer: $\boxed{\subseteq}$

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