The description indicates that the number line has a closed dot at 7 and an arrow extending to the left towards 5. This means that all values less than or equal to 7 are included, but greater than 5 are not included.
The corresponding inequality can be written as:
\[ x \leq 7 \quad \text{and} \quad x < 5 \]
However, combining these conditions, the main inequality that captures the situation you described is:
\[ x < 7 \]
Thus, the answer is:
\[ x < 7 \]