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 $\geq$.