https://file.aiquickdraw.com/mathbot/file/1726856841299ajhmru5z.jpg

The graph shows a number line with a compound inequality, indicated by the orange shading between \( -1 \) and \( 6 \), where \( -1 \) has an open circle and \( 6 \) has a closed circle.

This implies:
- The inequality is strict at \( -1 \) (open circle), meaning \( x > -1 \).
- The inequality is inclusive at \( 6 \) (closed circle), meaning \( x \leq 6 \).

Thus, the correct inequality is:
\[
-1 < x \leq 6
\]
Which corresponds to **option B**.

Would you like a more detailed explanation or have any questions?

Here are five related questions you might explore:
1. How would the inequality change if both endpoints were open circles?
2. What if the endpoint at \( 6 \) were also an open circle?
3. Can you graph the inequality \( -2 \leq x < 4 \)?
4. How do you represent inequalities on a number line using set notation?
5. How do you solve compound inequalities algebraically?

**Tip:** When reading inequalities from a graph, always pay attention to whether the circles are open or closed to determine strictness or inclusiveness.

Select the compound inequality shown on the graph.

Learn how to read and interpret compound inequalities on a number line. This example covers the inequality -1 < x ≤ 6, shown with an open circle at -1 and a closed circle at 6. Perfect for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation