Question

Write an inequality using the variable x that corresponds to the set graphed on the number line.
-7
-6
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
7
Question content area bottom
Part 1
A.
x​ < negative 4
B.
x​ > negative 4
C.
x greater than or equals negative 4
D.
x less than or equals negative 4

Answer 1

To determine the correct inequality based on the description, we need to know how the set is graphed on the number line. However, since I don't have the visual of the graph, I can explain how to interpret number line graphs and the corresponding inequalities.

1. **Solid dot at -4, shading left** (e.g., includes -4 and all numbers less than -4): This corresponds to **D. \(x \leq -4\)**.
2. **Open dot at -4, shading left** (e.g., -4 is not included but all numbers less than -4 are): This corresponds to **A. \(x < -4\)**.
3. **Solid dot at -4, shading right** (e.g., includes -4 and all numbers greater than -4): This corresponds to **C. \(x \geq -4\)**.
4. **Open dot at -4, shading right** (e.g., -4 is not included but all numbers greater than -4 are): This corresponds to **B. \(x > -4\)**.

If you have the specific information about the graph (such as whether -4 is included or whether the shading goes to the left or right), you can select the appropriate option from above. Please provide the relationships indicated by the graph, and I could help you choose the correct answer definitively!