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
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×
c< d< a< b
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×
b< c< d< a
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✓
c< a< b< d
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×
a< c< b< d
Answer
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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