The number line that you described has two points plotted at negative 2 and 7, with a solid line extending between them. This indicates that all values of \( x \) between negative 2 and 7 are included in the solution set, as the points are closed (solid dots).
Thus, the solution set can be expressed as:
- \( x \leq 7 \)
- \( x \geq -2 \)
Putting it together, the solution set is: \( -2 \leq x \leq 7 \).