https://file.aiquickdraw.com/mathbot/file/17298073831144aqv3jq0.jpg

The inequality in the image is:

\[
x + 7 \leq -2
\]

To solve for \( x \), subtract 7 from both sides:

\[
x \leq -2 - 7
\]
\[
x \leq -9
\]

So, the solution to the inequality is \( x \leq -9 \).

Among the given options:
- \( x = -9 \) is the correct solution because it satisfies the inequality \( x \leq -9 \).

Would you like further details or have any questions?

Here are 5 related questions:
1. What happens if the inequality sign was "greater than" instead of "less than or equal"?
2. How do you graph the solution \( x \leq -9 \) on a number line?
3. What changes if the inequality involves a "greater than or equal to" sign?
4. Can you solve similar inequalities with variables on both sides of the inequality?
5. How do you handle inequalities when multiplying or dividing by negative numbers?

**Tip**: Always reverse the inequality sign when multiplying or dividing both sides by a negative number.

Which of the following is a solution to the inequality x + 7 ≤ -2?

Learn how to solve the inequality x + 7 ≤ -2 with a detailed step-by-step solution. This problem focuses on algebraic concepts related to inequalities, suitable for students in Grades 6-8.

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