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CSCA MathematicsChapter 1: Sets, Logic & InequalitiesBeginner

Sets, Venn Diagrams & Logical Quantifiers

集合的基本运算与常用逻辑用语 · Node 1.1

Subset, intersection, union, complement in universal sets $\mathbb{R}$, existential $\exists$ & universal $\forall$ quantifiers, and necessary vs sufficient conditions.

Chapter Weight: 25% of official examination
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Core Mathematical Axiom

Formula Proof & Traps
A∩B={x∣x∈A∧x∈B},∁U​A={x∈U∣x∈/A},p⟹q
CSCA Exam Trap Alert

Forgetting the empty set $\varnothing$: always test $A = \varnothing$ when given $A \subseteq B$.

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Quadratic, Fractional Inequalities & AM-GM