1. **Problem:** Determine which statement about sine function is true for any real number $x$. 2. **Recall:** The sine function satisfies the inequality $$-1 \leq \sin t \leq 1$$ for any real number $t$. 3. **Analyze each choice:** - (A) $-1 \leq \sin 11x \leq 1$ is true because sine values are always between -1 and 1 regardless of the argument. - (B) $-11 \leq \sin 11x \leq 11$ is true but less precise since sine never exceeds 1 in magnitude. - (C) $-11 \leq \sin x \leq 11$ is also true but less precise. - (D) $-1 \leq 11 \sin x \leq 1$ is false because multiplying sine by 11 can produce values outside [-1,1]. 4. **Conclusion:** The most accurate and standard inequality is (A). **Final answer:** (A) $-1 \leq \sin 11x \leq 1$