Write an inequality using the variable x that corresponds to the set graphed on the number line.

Question

-7
-6
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
7
Question content area bottom
Part 1
A.
x greater than or equals negative 3
B.
x​ < negative 3
C.
x less than or equals negative 3
D.
x​ > negative 3

Answer 1

To determine the correct inequality for the set graphed on the number line, we need to consider the information provided about the graph.

The choices suggest we are examining values around -3:

• If -3 is included in the set (marked with a closed circle), the correct inequality would be greater than or equal to, which corresponds to A or C.
• If -3 is not included (marked with an open circle), it would be either less than or greater than -3, which would correspond to B or D.

Since you didn't provide specific information regarding how -3 is represented on the number line, I'll outline the possible situations based on typical interpretations:

1. If the graph shows all numbers greater than or equal to -3, the inequality is A: x ≥ -3.
2. If the graph shows all numbers less than -3, the inequality is B: x < -3.
3. If the graph shows all numbers less than or equal to -3, the inequality is C: x ≤ -3.
4. If the graph shows all numbers greater than -3, the inequality is D: x > -3.

Without visual confirmation of the number line, I can't definitively say which inequality is correct. If you have access to the specific visual representation of the number line or can provide a description of it, please let me know!