Find the range of values of x for which \(\frac{1}{x}\) > 2 is true
A
x < \(\frac{1}{2}\)
B
x < 0 or x < \(\frac{1}{2}\)
C
0 < x < \(\frac{1}{2}\)
D
1 < x < 2
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
\(\frac{1}{x}\) > 2 = \(\frac{x}{x^2}\) > 2
x > 2x2
= 2x2 2 - x 0, 2x - 1 0, x 0
x < 0, x , \(\frac{1}{2}\) = 0
Source: Myschool Past Questions Archive (Record #31012)