Translate the following into an inequality, graph it on the real number line, and write it using interval notation.
I really want to do less than 9 hours of homework this week.

The inequality \( h < 9 \) is graphed on the real number line above. The open circle at 9 indicates that 9 is not included, and the shaded region to the left of 9 represents all values less than 9.

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Here are some related questions:
1. How would you graph \( h \leq 9 \) instead of \( h < 9 \)?
2. What is the interval notation for \( h \geq 5 \)?
3. Can you express the inequality \( h < 9 \) as a compound inequality?
4. How would you represent the inequality \( 4 < h < 9 \) on a number line?
5. What is the difference between open and closed intervals?

**Tip:** When writing inequalities, always pay attention to whether the inequality is strict (like "<") or inclusive (like "≤"). This affects whether you use open or closed circles on a graph.

Translate the following into an inequality, graph it on the real number line, and write it using interval notation. I really want to do less than 9 hours of homework this week.

Learn how to translate the inequality h < 9, graph it on the real number line, and write the solution using interval notation. This problem demonstrates core concepts in algebra, including inequality graphing and interval notation. Suitable for students in Grades 6-8.

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