COMEDK · Maths · 1. Basic of Mathematics
The solution of \(\frac{6 x}{4 x-1} < \frac{1}{2}\) is
- A \(x < \frac{-1}{8}\)
- B \(\frac{-1}{8} < x < \frac{1}{4}\)
- C \(x < \frac{-1}{8}\) and \(x>\frac{1}{4}\)
- D \(x>\frac{1}{8}\)
Answer & Solution
Correct Answer
(B) \(\frac{-1}{8} < x < \frac{1}{4}\)
Step-by-step Solution
Detailed explanation
Given, inequality is \[ \begin{aligned} & \frac{6 x}{4 x-1} 0,4 x-1 0\) From Case \((\mathrm{I})\), we get \(x>\frac{-1}{8}, x \frac{1}{4}\), both of which can not be true. \(\therefore E_{\text {G. }}\). (ii) represent the solution set of given inequality.
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