Find the range of values of x for which frac 1 ... - JAMB Mathematics 1994 Question
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
correct option: c
(\frac{1}{x}) > 2 = (\frac{x}{x^2}) > 2
x > 2x2
= 2x2 < x
= 2x2 - x < 0
= x(2x - 10 < 0
Case 1(+, -) = x > 0, 2x - 1 < 0
x > 0, x < (\frac{1}{2}) (solution)
Case 2(-, 4) = x < 0, 2x - 1 > 0
x < 0, x , (\frac{1}{2}) = 0
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