Question

Select the solution set represented by the graph.



(2 points)
Responses

x<4
or x≥10
x<4
or x is greater than or equal to 10

x>4
and x≤10
x is greater than 4 and x is less than or equal to 10

x≤4
or x≥10
x is less than or equal to 4 or x is greater than or equal to 10

x<4
or x>10

Answer 1

To determine the correct solution set represented by the graph, we need to analyze the intervals described in each response option. Since I can't see the graph you're referencing, I will guide you on how to interpret it instead.

1. **Check where the graph is shaded:**
- If the graph shows shading to the left of a point (like 4) and indicates that point is included (filled circle), it implies that the solution includes values less than or equal to that point.
- If it goes to the right (after another point, like 10), check if that point is included or excluded (filled vs open circle).

2. **Consider "or" vs "and" statements:**
- "Or" implies that either condition can be true (disjoint intervals).
- "And" means both conditions must be satisfied simultaneously (overlapping intervals).

3. **Match the shading and endpoints to the provided responses:**
- If the graph shows that x is less than or equal to 4 or greater than or equal to 10, it aligns with: **x≤4 or x≥10.**
- If it shows x is greater than 4 and less than or equal to 10, then it matches with: **x>4 and x≤10.**
- If it only shades areas beyond 4 or above 10 separately, look for "$x < 4$ or $x > 10$."

Once you verify the regions and the endpoints based on the graph, select the appropriate choice from the options given.