AMC 10 Step by Step
Log inSign up
Printable

2012 AMC 10B Problem 6

Include the solutionBack to the problem
2012 AMC 10B Problem 6AMC 10 Step by Step
Name:                             Date: September 13, 2026
Absolute Value & Inequalities · difficulty 1 of 5 · about 1 min · position P1-10

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

  1. A)

    Her estimate is larger than $x-y

  2. B)

    Her estimate is smaller than $x-y

  3. C)

    Her estimate equals $x-y

  4. D)

    Her estimate equals $y - x

  5. E)

    Her estimate is $0

Working