De Morgan's Laws (Set Form)
Formula: ∁ U (A ∪ B) = (∁ U A) ∩ (∁ U B) ， ∁ U (A ∩ B) = (∁ U A) ∪ (∁ U B) Applicable Condition: Sets A and B are subsets of the universal set U. Explanation:…
Syllabus path: Sets and Inequalities › Sets › Operations on Sets
CSCA Exam Prep
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
Formula: ∁ U (A ∪ B) = (∁ U A) ∩ (∁ U B) ， ∁ U (A ∩ B) = (∁ U A) ∪ (∁ U B) Applicable Condition: Sets A and B are subsets of the universal set U. Explanation: The complement of a union is the intersection of the complements; the complement of an intersection is the union of the complements.
Related tutorial and examples
Operations on Sets
Operations on Sets Set operations are a mandatory topic in the CSCA exam. Mastering definitions of Union, Intersection, and Complement, along with their representations in Venn Diagrams and on the number line, is key to solving these problems. 1. Three Basic Operations Let A and …
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