Questions: d, h, k, n ⊂ d, h, k, n True False

Transcript text: $\{d, h, k, n\} \subset\{d, h, k, n\}$ True False

Solution

Solution Steps

To determine if the set $\{d, h, k, n\}$ is a subset of itself, we need to understand the definition of a subset. A set $A$ is a subset of set $B$ if every element of $A$ is also an element of $B$. Since every set is a subset of itself, this statement is true.

Step 1: Define the Sets

Let $ A = \{d, h, k, n\} $. We need to determine if $ A \subseteq A $.

Step 2: Apply the Definition of Subset

According to the definition, a set $ A $ is a subset of set $ B $ if every element of $ A $ is also an element of $ B $. In this case, since both sets are identical, every element in $ A $ is indeed in $ A $.

Step 3: Conclusion

Since $ A $ is a subset of itself, we conclude that the statement $ \{d, h, k, n\} \subseteq \{d, h, k, n\} $ is true.