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, n, 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?

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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, n, 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?

m - 10 ≤ n ≤ m + 10
n + 10 ≤ m ≤ n - 10
n ≤ m ≤ 10n
m/10 ≤ n ≤ 10m

Answer: m - 10 ≤ n ≤ m + 10

Explanation

The correct inequality that represents the relationship between Jerry's estimate and the actual number of marbles in the jar is m - 10 ≤ n ≤ m + 10.

This inequality states that Jerry's estimate, m, is within 10 marbles (inclusive) of the actual number, n. By subtracting 10 from Jerry's estimate and adding 10 to his estimate, you create a range within which the actual number must fall.

For example, if Jerry estimates there are 50 marbles (m = 50), the actual number of marbles (n) must be between 40 (50 - 10) and 60 (50 + 10), inclusive.

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