To represent the inequality \(-1 < x\) on a number line, you would draw an open circle at \(-1\) to indicate that \(-1\) is not included in the solution. Then, you would shade the number line to the right of \(-1\), as the values of \(x\) are greater than \(-1\).

Here's how to visualize it:

1. Draw a number line.
2. Mark \(-1\) on the line.
3. Place an open circle at \(-1\).
4. Shade the part of the line to the right of \(-1\), extending infinitely.

This shows that \(x\) can be any number greater than \(-1\), but not equal to \(-1\).

Would you like more details or have any questions?

Here are 5 related questions for you:
1. How would you represent \(x \leq 2\) on a number line?
2. What is the difference between open and closed circles on a number line?
3. How would you represent the inequality \(x > 3\) on a number line?
4. How do you graph a compound inequality like \(-2 < x \leq 5\)?
5. How does the number line representation change if the inequality is \(-1 \leq x\)?

**Tip:** Always use an open circle for strict inequalities like \(<\) and \(>\), and a closed circle for inclusive inequalities like \(\leq\) or \(\geq\).

Understand how to graph the inequality -1 < x on a number line with a clear step-by-step guide. Learn to mark open circles and shade the number line for inequalities. Perfect for students in Grades 6-8.

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