Multiple Choice Question (MCQ)

If 0< m< 1 such that a = 1-\dfrac{1}{m}, b = \dfrac{1}{m}-1, c = m-\dfrac{1}{m}, d = \dfrac{1}{m}-m, then

  1. ×

    c< d< a< b

  2. ×

    b< c< d< a

  3. ✓

    c< a< b< d

  4. ×

    a< c< b< d

Collected in the board: Fractions

Steven Zheng posted 4 months ago

Answer

  1. 0< m< 1 \implies \dfrac{1}{m}>1

    and

    \dfrac{1}{m}-m > \dfrac{1}{m}-1
    (1)

    Therefore

    The option is either C or D

    Multipling (1) by -1

    m-\dfrac{1}{m} < 1- \dfrac{1}{m}
    (2)

    Then

    c < a
    (3)

    Therefore

    C is the correct option


Steven Zheng posted 4 months ago

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