1. The problem asks to write down the inequality shown on the number line. 2. The number line shows a segment from $-2$ to $3$ with filled circles at both ends, which means the endpoints are included. 3. The inequality for all $x$ values between $-2$ and $3$, inclusive, is written as: $$-2 \leq x \leq 3$$ 4. This means $x$ can be any number greater than or equal to $-2$ and less than or equal to $3$. 5. The filled circles indicate the "or equal to" part of the inequality, making it inclusive. Final answer: $$-2 \leq x \leq 3$$