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Find the range of values of x for which (frac{1}{x}) > 2 is true

Find the range of values of x for which (frac{1}{x}) > 2 is true
  • A.
    x
  • B.
    x
  • C.
    0
  • D.
    1
Correct Answer: Option C
Explanation

(frac{1}{x}) > 2 = (frac{x}{x^2}) > 2
x > 2x2
= 2x2
= 2x2 – x

= x(2x – 10

Case 1(+, -) = x > 0, 2x – 1

x > 0, x

Case 2(-, 4) = x 0
x

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