Basic Property of Inequalities: Multiplication Property (Negative Number)
If a > b and c < 0, then ac < bc. Applicable conditions: Real numbers a, b, negative real number c. Explanation: Multiplying both sides of an inequality by the…
Syllabus path: Sets and Inequalities › Basic Properties and Solutions of Inequalities › Other Common Inequalities
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This formula is aligned to the CSCA undergraduate admissions exam syllabus. Continue with the linked tutorial and topic practice.
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CSCA Mathematics Formula Reference
Formula and explanation
If a > b and c < 0, then ac < bc. Applicable conditions: Real numbers a, b, negative real number c. Explanation: Multiplying both sides of an inequality by the same negative number reverses the direction of the inequality sign.
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Other Common Inequalities
Other Common Inequalities In the CSCA exam, besides basic inequalities, quadratic inequalities, and rational inequalities, there are other common types of inequalities that need to be mastered. They can usually be solved by equivalent transformation, utilizing the known propertie…
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