**Which graph represents the solution set of this inequality?**

\[\qquad-11-2d \geq 1\]

Choose 1 answer:

Choose 1 answer:

(Choice A)   

A

(Choice B)   

B

(Choice C)   

C

(Choice D)   

D

Let's solve the inequality first:

\[
-11 - 2d \geq 1
\]

### Step 1: Add 11 to both sides

\[
-2d \geq 1 + 11
\]

\[
-2d \geq 12
\]

### Step 2: Divide both sides by -2

When dividing by a negative number, remember to reverse the inequality sign:

\[
d \leq \frac{12}{-2}
\]

\[
d \leq -6
\]

So, the solution to the inequality is \( d \leq -6 \).

### Interpreting the Graphs

On a number line, this solution is represented by an arrow starting at \(-6\) with a filled circle (since the inequality is \(\leq\)) pointing to the left.

Without specific descriptions of the answer choices (A, B, C, D) like before, I can't point to the exact answer graphically. However, you should look for the graph that has a filled circle at \(-6\) and an arrow pointing to the left.

---

Would you like further details or have any questions?

Here are some related questions:

1. How would the graph change if the inequality was \(d < -6\)?
2. What if the inequality was \(d \geq -6\)? How would the graph look?
3. How do you represent the inequality \(d > -6\) on a number line?
4. Can you explain why the inequality sign flips when dividing by a negative number?
5. What happens to the solution if the original inequality was \(-11 + 2d \geq 1\) instead?

**Tip:** Always keep in mind to reverse the inequality sign when dividing or multiplying both sides by a negative number!

Explore how to graphically represent the solution set of the inequality -11 - 2d ≥ 1. Learn step-by-step how to solve the inequality and interpret the graph on a number line. Suitable for students in Grades 7-9.

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