**38+ How To Solve Rational Inequalities
PNG**. We now will solve inequalities that involve rational expressions, although as we'll see the process here is the process for solving rational inequalities is nearly identical to the process for solving polynomial inequalities with a few minor differences. How to solve rational inequalities.

The inequality sign right we're multiplying both sides by a positive so the inequality stays the same as in our original problem and the whole reason why we did that is because this and this will cancel out and then we. A polynomial inequalitya mathematical statement that relates a polynomial expression as either less than or greater than another. But because rational expressions have denominators (and therefore may have places where they're not defined), you have to be a little more careful in finding your solutions.

### The inequality sign right we're multiplying both sides by a positive so the inequality stays the same as in our original problem and the whole reason why we did that is because this and this will cancel out and then we.

Knowing that the sign of an algebraic expression changes at its zeros of odd multiplicity, solving an inequality may be reduced to finding the sign of an algebraic expression within intervals defined by the zeros of the expression in question. This is all explained on solving inequalities. All of your rational inequalities just. By the end of this section, you will be able to having just learned to solve rational equations we are now ready to solve rational inequalities.