To represent a closed circle at -9.5 with a ray extending to the left, you are describing an inequality involving \(x\) that includes -9.5 and all values less than it. The inequality can be expressed as:
\[ x \leq -9.5 \]
In this case, a closed circle at -9.5 indicates that -9.5 is included in the solution set. The ray extending to the left signifies that all numbers less than -9.5 are also included in the solution set.
When graphing this on a number line:
- Place a closed circle on -9.5 to indicate that this value is included.
- Draw a line or arrow extending to the left from -9.5 to show that all values less than -9.5 are part of the solution set.