To decide whether the symbol that makes the statement true is "⊂" (proper subset), "⊆" (subset), both, or neither, we need the sets involved. Let's review the definitions of these subset relations:

• Subset (⊆): Set $A$ is a subset of set $B$ (denoted $A \subseteq B$) if every element of $A$ is also an element of $B$. This includes the possibility that $A = B$ (i.e., they can be the same set).

• Proper Subset (⊂): Set $A$ is a proper subset of set $B$ (denoted $A \subset B$) if every element of $A$ is also an element of $B$, but $A \neq B$. That is, $A$ must be strictly smaller than $B$.

Without the specific sets involved, I cannot definitively state which symbol applies to your problem, but I can tell you how to decide:

• If the sets are identical, only "⊆" is correct because a proper subset requires that the sets be different.
• If one set is strictly smaller than the other, both "⊂" and "⊆" would be true.

Would you like to share the specific sets or give more details for clarification?

Related Questions:

1. What is the difference between a subset and a proper subset?
2. Can a set be a proper subset of itself?
3. How can you determine if one set is a subset of another?
4. What are some examples where "⊆" holds but "⊂" does not?
5. How does the empty set relate to subsets and proper subsets?

Tip:

A set is always a subset of itself but never a proper subset of itself.