1. **State the problem:** We are given three sets of states:
$$K = \{DE, FL, NJ, NY, PA\}$$
$$L = \{DE, FL, GA, NJ, NY, PA\}$$
$$M = \{FL, NJ, NY, OR, PA\}$$
We need to determine if $K$ is a subset of $L$, denoted as $K \subseteq L$.
2. **Recall the definition of subset:**
A set $A$ is a subset of set $B$ if every element of $A$ is also an element of $B$. Formally,
$$A \subseteq B \iff \forall x (x \in A \implies x \in B)$$
3. **Check each element of $K$ in $L$:**
- $DE \in L$? Yes.
- $FL \in L$? Yes.
- $NJ \in L$? Yes.
- $NY \in L$? Yes.
- $PA \in L$? Yes.
4. **Conclusion:** Since every element of $K$ is in $L$, we have
$$K \subseteq L$$
**Final answer:** Yes, $K$ is a subset of $L$.
Subset Check 2Ebb92
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