McGraw-Hill Education GRE 2019

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Exercise: Inequalities and Absolute Value


Discrete Quantitative Questions



  1. If −x + y > y + 2x, which of the following must be true?
    A x < 0
    B y > 0
    C x + y > 0
    D x + y < 0
    E xy > 0

  2. If |x + 3| = 12 and |y +2| = 9, the maximum value of xy =
    A 63
    B 84
    C 99
    D 132
    E 165


For this question, indicate all of the answer choices that apply.


  1. If 3 + 9|x + 3| = 48, then x could equal which of the following?
    A −8
    B −5
    C 2
    D 3
    E 5

  2. If x^2 > 16, then x could equal which of the following?
    A −3
    B −2
    C 0
    D 3
    E 5


CHAPTER 11 ■ ALGEBRA 307

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