# Solving Rational Inequalities

Solving rational inequalities is very similar to solving polynomial inequalities. But because rational expressions have denominators (and therefore may have places where they're not defined).

Solving rational inequalities is very similar to solving polynomial inequalities. But because rational expressions have denominators (and therefore may have places where they're not defined).

To solve a rational inequality, you first find the zeroes (from the numerator) and the undefined points (from the denominator). You use these zeroes and undefined points to divide the number line into intervals. Then you find the sign of the rational on each interval.

Below are the summarized steps in order to find rational inequalities and solve them.

Step 1: Write the expression of inequality as one quotient on the left and zero (0) on the right.

Step 2: Identify the critical points&ndash

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