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2012 AMC 10B Problem 6

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2012 AMC 10B Problem 6AMC 10 Step by Step

Name: Date: October 28, 2026

Absolute Value & Inequalities · difficulty 1 of 5 · about 1 min · position P1-10

In order to estimate the value of $x-y$ where $x$ and $y$ are real numbers with $x > y > 0$ , Xiaoxi rounded $x$ up by a small amount, rounded $y$ down by the same amount, and then subtracted her rounded values. Which of the following statements is necessarily correct?

A)Her estimate is larger than $x-y$
B)Her estimate is smaller than $x-y$
C)Her estimate equals $x-y$
D)Her estimate equals $y - x$
E)Her estimate is $0$

2012 AMC 10B Problem 6

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