Select $\subseteq$ or $\nsubseteq$ for the blank so that the resulting statement is true.
\[
\{1,5,8\}-\{1,2, \ldots, 10\}
\]

Step 1 ：The problem is asking us to subtract the set {1,2,...,10} from the set {1,5,8} and then determine whether the resulting set is a subset of the original set {1,5,8}.

Step 2 ：In set theory, the subtraction (or difference) of two sets A and B, denoted by A - B, is the set of all elements of A that are not in B.

Step 3 ：So, we need to subtract the set {1,2,...,10} from the set {1,5,8}. This will give us the set of all elements in {1,5,8} that are not in {1,2,...,10}.

Step 4 ：Next, we need to check whether the resulting set is a subset of the original set {1,5,8}. A set A is a subset of a set B (denoted by A ⊆ B) if every element of A is also an element of B.

Step 5 ：The resulting set after subtracting {1,2,...,10} from {1,5,8} is an empty set.

Step 6 ：An empty set is a subset of any set, including the original set {1,5,8}. Therefore, the correct symbol to use is ⊆.

Step 7 ：Final Answer: \(\boxed{\subseteq}\)