Select the solution set represented on the graph.

Question

(1 point)
Responses

x≥−8 and x≤−2
x greater-than-or-equal-to negative 8 and x less-than-or-equal-to negative 2

x≥−8 or x≤−2
x greater-than-or-equal-to negative 8 or x less-than-or-equal-to negative 2

x>−8 and x<−2
x greater than negative 8 and x less than negative 2

x>−8 or x<−2

Answer 1

To select the correct solution set represented on the graph, consider the following interpretations of the options provided:

1. x ≥ -8 and x ≤ -2: This means x is between -8 and -2, including the endpoints. (Interval: [-8, -2])

2. x ≥ -8 or x ≤ -2: This means x is -8 or greater, or less than or equal to -2. (Interval: (-∞, -2] ∪ [-8, ∞))

3. x > -8 and x < -2: This means x is strictly between -8 and -2, excluding the endpoints. (Interval: (-8, -2))

4. x > -8 or x < -2: This means x is greater than -8 or less than -2. (Interval: (-∞, -2) ∪ (-8, ∞))

To determine which one corresponds to the graph, you would need to analyze the visual representation of the shaded area and the endpoints shown.

If you have a number line, you can find which of these descriptions is appropriate based on the shading and closed/open ends of any circles at the boundary points.

If the graph shows a closed interval between -8 and -2, you would pick the first option. If it shows an open interval, you would choose the third option.

Please refer to the graph to confirm which of these options applies. If you need help interpreting a specific graph, feel free to describe it!