holds for all x / always true
Chinese equivalent: 恒成立
holds for all x / always true Refers to an inequality (or equation) that is true for all x in its domain.
Syllabus path: Sets and Inequalities › Basic Properties and Solutions of Inequalities › Quadratic Inequalities
CSCA Exam Prep
This term is aligned to the CSCA undergraduate admissions exam syllabus. Continue with the linked tutorial and topic practice.
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CSCA Mathematics Exam Glossary
Definition
holds for all x / always true Refers to an inequality (or equation) that is true for all x in its domain.
Related tutorial and examples
Quadratic Inequalities
Quadratic Inequalities Quadratic inequalities are a high - frequency topic in the CSCA exam. The core strategy is "Combining Algebra and Geometry"—using the graph (parabola) of the quadratic function y = ax²⁺bx + c to determine the range of x. 1. Standard Solution Steps Mnemonic:…
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