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The problem is asking you to select the compound inequality and graph that represents the statement:

"A quantity \( x \) that is greater than or equal to \(-3\) and less than \(5\)."

This can be expressed mathematically as:

\[
-3 \leq x < 5
\]

This inequality means that \( x \) can take any value between \(-3\) and \(5\), including \(-3\) but not including \(5\). The correct graph should show a closed circle at \(-3\) (indicating that \(-3\) is included) and an open circle at \(5\) (indicating that \(5\) is not included), with the line connecting these two points.

Would you like help interpreting the answer choices, or do you have any further questions?

Here are 5 related questions to deepen understanding:
1. What is the difference between an open and closed circle on a number line?
2. How would the inequality change if both endpoints were included?
3. How do we graph inequalities with "greater than" vs "greater than or equal to"?
4. What would the inequality look like if \( x \) was strictly between \(-3\) and \(5\)?
5. How does reversing the inequality symbols change the solution?

**Tip:** When solving compound inequalities, break the inequality into parts and solve each one separately before combining them.

Select the compound inequality and graph that best represents this statement: A quantity x that is greater than or equal to -3 and less than 5.

Learn how to solve and graph the compound inequality -3 ≤ x < 5. This example demonstrates how to represent inequalities on a number line and the difference between open and closed circles. Suitable for students in Grades 6-8.

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