Equivalent Condition for (P(x))/(Q(x)) < 0
The rational inequality (P(x))/(Q(x)) < 0 is equivalent to P(x) · Q(x) < 0 and Q(x) eq 0. To solve it, find the x values for which P(x) and Q(x) have opposite…
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 rational inequality (P(x))/(Q(x)) < 0 is equivalent to P(x) · Q(x) < 0 and Q(x) eq 0. To solve it, find the x values for which P(x) and Q(x) have opposite signs, and exclude points where the denominator is zero.
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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