Jerry estimates that there are m marbles in a jar. Harry, who knows the actual number of marbles in the jar, notes that the actual number m is within 10 marbles (Inclusive) of Jerry’s estimate. Which of the following inequalities represents the relationship between Jerry’s estimate and the actual number of marbles in the Jar?

Jerry estimates that there are m marbles in a jar. Harry, who knows the actual number of marbles in the jar, notes that the actual number m is within 10 marbles (Inclusive) of Jerry's estimate. Which of the following inequalities represents the relationship between Jerry's estimate and the actual number of marbles in the Jar?
Answer: |m - n| ≤ 10

Let Jerry’s estimate be (m), and the actual number be (n). The actual number is within 10 marbles (inclusive) of the estimate, so the difference is at most 10: (|m - n| \leq 10). Studying this highlights inequality applications, the challenges of modeling estimates, and its use in real-world approximations. It also offers lessons on using inequalities for precise mathematical modeling.