Basic Form of Rational Inequality

The general form of a rational inequality is (P(x))/(Q(x)) > 0 (or ≥ , < , ≤ ), where P(x) and Q(x) are polynomials, and Q(x) eq 0. The solution usually involv…

Syllabus path: Sets and Inequalities › Basic Properties and Solutions of Inequalities › Rational Inequalities

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CSCA Mathematics Formula Reference

Formula and explanation

The general form of a rational inequality is (P(x))/(Q(x)) > 0 (or ≥ , < , ≤ ), where P(x) and Q(x) are polynomials, and Q(x) eq 0. The solution usually involves transforming the inequality into a system of polynomial inequalities.

Related tutorial and examples

Rational Inequalities

Rational Inequalities Rational inequalities are a common source of errors in the CSCA exam. The main traps are division by zero and multiplying by the denominator blindly. 1. Core Method: Equivalent Transformation The most efficient way is not case analysis, but transforming the …

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