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2017 AMC 10B Problem 3

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2017 AMC 10B Problem 3AMC 10 Step by Step
Name:                             Date: September 13, 2026
Absolute Value & Inequalities · difficulty 1 of 5 · about 2 min · position P1-10

Real numbers xx , yy , and zz satisfy the inequalities 0<x<10<x<1 , −1<y<0-1<y<0 , and 1<z<21<z<2 . Which of the following numbers is necessarily positive?

  1. A)

    y+x2y+x^2

  2. B)

    y+xzy+xz

  3. C)

    y+y2y+y^2

  4. D)

    y+2y2y+2y^2

  5. E)

    y+zy+z

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