1. The problem asks to represent the inequality $x > -3$ on a number line. 2. This inequality means that $x$ can be any number greater than $-3$, but not equal to $-3$. 3. On a number line, this is shown by an open circle at $-3$ to indicate that $-3$ is not included. 4. Then, shade the line to the right of $-3$ to show all numbers greater than $-3$. 5. The inequality can be written as $x > -3$. 6. This is a simple linear inequality representing all values to the right of $-3$ on the number line.