https://file.aiquickdraw.com/mathbot/file/17262459415739v2wlbg9.jpg

The number line graph provided shows a closed circle at \( x = -2 \) and an open circle at \( x = 7 \), with a shaded region between these points. This represents the inequality where \( x \) is greater than or equal to \( -2 \) and less than \( 7 \).

Thus, the solution set can be expressed as:
\[
-2 \leq x < 7
\]

Would you like further clarification on how inequalities are represented on number lines, or do you have any other questions?

Here are 5 related questions to deepen your understanding:

1. How do open and closed circles on a number line indicate different types of inequalities?
2. What does it mean if the shaded region on a number line extends infinitely in one direction?
3. How would the solution change if both endpoints on the number line were closed circles?
4. Can you graph the inequality \( 0 < x \leq 5 \) on a number line?
5. How do you express compound inequalities using interval notation?

**Tip:** In interval notation, square brackets \([ ]\) indicate inclusive bounds (closed circle), while parentheses \(( )\) indicate exclusive bounds (open circle).

What solution set does the graph represent?

This graph represents an inequality where x is greater than or equal to -2 and less than 7. Learn how inequalities are expressed on a number line, including open and closed circles for inclusive and exclusive bounds. Suitable for students in Grades 7-9.

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