1. The problem is to understand and analyze the inequality $x' - 2 \leq x \leq 5$. 2. Here, $x'$ typically denotes the derivative of $x$ with respect to some variable, often time $t$. 3. The inequality states that the derivative $x'$ minus 2 is less than or equal to $x$, and $x$ is less than or equal to 5. 4. This can be rewritten as two inequalities: - $x' - 2 \leq x$ - $x \leq 5$ 5. From the first inequality, we get $x' \leq x + 2$. 6. The second inequality restricts the value of $x$ to be at most 5. 7. This describes a differential inequality bounding the rate of change of $x$ and the value of $x$ itself. 8. To solve or analyze this, one might consider initial conditions and use methods for differential inequalities. 9. Without additional context or initial conditions, this is the interpretation and rewriting of the given inequality.