Graph the inequality on a number line.

Question

negative 8 less than or equals y less than 0
Question content area bottom
Part 1
Graph the solution set.
A.
An infinite number line, labeled from negative 15 to 15 with tick marks in increments of 1. Starting at 0, the shaded region starts with a closed circle and stops at 8 with an open circle.
-15
15
0
8
0
B.
An infinite number line, labeled from negative 15 to 15 with tick marks in increments of 1. Starting at negative 8, the shaded region starts with an open circle and stops at 0 with a closed circle.
-15
15
0
-8
0
C.
An infinite number line, labeled from negative 15 to 15 with tick marks in increments of 1. Starting at negative 8, the shaded region starts with a closed circle and stops at 0 with an open circle.
-15
15
0
-8
0
D.
An infinite number line, labeled from negative 15 to 15 with tick marks in increments of 1. Starting at 0, the shaded region starts with an open circle and stops at 8 with a closed circle.
-15
15
0
8
0

Answer 1

To graph the inequality \(-8 \leq y < 0\) on a number line:

1. The inequality indicates that \(y\) is greater than or equal to \(-8\) but less than \(0\).
2. Since \(-8\) is included in the range, we use a closed circle at \(-8\) to denote this.
3. Since \(0\) is not included in the range, we use an open circle at \(0\).
4. The shaded region will extend from \(-8\) (closed circle) to \(0\) (open circle).

Given these observations, the correct option is:

C. An infinite number line, labeled from negative 15 to 15 with tick marks in increments of 1. Starting at negative 8, the shaded region starts with a closed circle and stops at 0 with an open circle.
-15
15
0
-8
0