Instruction

1

Imagine a fractional inequality so that one side stood a rational expression, and on the other side of the sign - 0. Now the inequality in General form is: f(x)/g(x) > (<, ≤ or ≥) 0.

2

Determine the points at which g(x) changes sign, write down all intervals on which g(x) of constant sign.

3

For each interval, imagine the original fractional expression as a product of functions f(x) and g(x), changing the sign

**of the inequality**when necessary. Actually you multiply left and right part of the**inequality**on the same number. Thus the sign of**inequality**is reversed if the number (in our case g(x)) is negative and stays the same if the number is positive. Also while maintaining rigor (>, <) and porous (≤, ≥)**inequality**.4

For the resulting

**inequality**f(x)*g(x) > (<, ≤ or ≥) 0 use standard solution methods, but now for each previously detected interval of the number line. One of them will be the same method intervals znakpatenta applied to the function f(x).