List of top Quantitative Aptitude Questions on inequalities

For what range of values of \(x\), will the inequality \(15x - \frac{2}{x} > 1\) hold?

If \(a\) and \(b\) are negative, and \(c\) is positive, which of the following statement(s) is/are true?
I) \(a - b < a - c\)
II) if \(a < b\), then \(\dfrac{a}{c} < \dfrac{b}{c}\)
III) \(\dfrac{a}{b} > \dfrac{a}{c}\)