Subset Check
1. **State the problem:** We have two sets:
- $A = \{x \mid x \text{ is an even number less than } 10\}$
- $B = \{2, 4, 6, 8, 10\}$
The question asks if $A \subseteq B$, that is if every element in $A$ is also in $B$.
2. **List the elements of $A$:** Since $A$ is the set of even numbers less than 10, we have:
$$A = \{2, 4, 6, 8\}$$
3. **Compare elements of $A$ with elements of $B$:**
- $2 \in B$
- $4 \in B$
- $6 \in B$
- $8 \in B$
4. **Check if all elements of $A$ are in $B$:** Yes, all of $A$'s elements (2, 4, 6, 8) are contained in $B$.
5. **Conclusion:** Since every element of $A$ is in $B$, the statement $A \subseteq B$ is **True**.
**Final answer:** True