Standard Form of a Linear Inequality in One Variable

Inequalities of the form ax + b > 0, ax + b < 0, ax + b ≥ 0, or ax + b ≤ 0, where a e 0. Applicable conditions: a, b are real numbers, a eq 0, x is the unknown…

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

Inequalities of the form ax + b > 0, ax + b < 0, ax + b ≥ 0, or ax + b ≤ 0, where a e 0. Applicable conditions: a, b are real numbers, a eq 0, x is the unknown. Explanation: This is the most basic form of inequality. The solution method is similar to that of a linear equation, but attention must be paid to 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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