For f$\frac{x}{g}$(x) > 0: (1) Factor numerator and denominator fully. (2) Find all zeros of f and g. (3) Mark them on number line. (4) Start from rightmost interval with sign of leading coefficient. (5) At simple (odd multiplicity) roots, sign changes. At even multiplicity roots, sign stays. (6) Points where g=0 are excluded (undefined). This method works for any rational inequality and polynomial inequality.