Question: Solve the compound inequality.
$x + 2 \geq 2$ and $x + 10 \leq 9$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution set is \boxed{\text{interval notation}}.
B. The solution set is \emptyset.
1. **State the problem:** Solve the compound inequality $$x + 2 \geq 2$$ and $$x + 10 \leq 9$$.
2. **Solve the first inequality:**
$$x + 2 \geq 2$$
Subtract 2 from both sides:
$$x + \cancel{2} - \cancel{2} \geq 2 - 2$$
$$x \geq 0$$
3. **Solve the second inequality:**
$$x + 10 \leq 9$$
Subtract 10 from both sides:
$$x + \cancel{10} - \cancel{10} \leq 9 - 10$$
$$x \leq -1$$
4. **Combine the inequalities:**
We want values of $x$ such that:
$$x \geq 0$$ and $$x \leq -1$$
5. **Analyze the solution:**
There is no number $x$ that is simultaneously greater than or equal to 0 and less than or equal to -1.
6. **Conclusion:**
The solution set is empty, denoted by $$\emptyset$$.
**Final answer:**
$$\boxed{\emptyset}$$