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

Assessment: JAMB UTME - Mathematics - 1994 Subject: General Mathematics

Question 1 Report

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

Answer Details

1x 1 x  > 2 = xx2 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 < 12 1 2  (solution)

Case 2(-, 4) = x < 0, 2x - 1 > 0

x < 0, x , 12 1 2  = 0

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