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#boardexam2026 #class10maths Venn Diagrams of A′, B′, and (A ∪ B)′ (Class 10 Maths) First, remember: Universal Set (U) → the whole rectangle A′ (A complement) → elements not in A B′ (B complement) → elements not in B (A ∪ B)′ → elements not in A and not in B 🔵 1) A′ (Complement of A) Meaning: All elements in U that are not inside A. 📌 In the Venn diagram: Draw rectangle = U Draw circle A Shade everything outside circle A 👉 Formula: 𝐴 ′ = 𝑈 − 𝐴 A ′ =U−A 🔵 2) B′ (Complement of B) Meaning: All elements in U that are not inside B. 📌 In the Venn diagram: Draw rectangle = U Draw circle B Shade everything outside circle B 👉 Formula: 𝐵 ′ = 𝑈 − 𝐵 B ′ =U−B 🔵 3) (A ∪ B)′ (Complement of Union) First understand: A ∪ B means elements in A or B or both So (A ∪ B)′ means elements not in A and not in B 📌 In the Venn diagram: Draw two overlapping circles A and B First imagine union (both circles shaded) Then shade only the outside region of both circles 👉 Formula: ( 𝐴 ∪ 𝐵 ) ′ = 𝐴 ′ ∩ 𝐵 ′ (A∪B) ′ =A ′ ∩B ′ This is called De Morgan’s Law. 🎯 Important Result (De Morgan’s Law) ( 𝐴 ∪ 𝐵 ) ′ = 𝐴 ′ ∩ 𝐵 ′ (A∪B) ′ =A ′ ∩B ′ Meaning: Complement of union = Intersection of complements. If you want, I can: Draw a labeled diagram image for you Make short exam notes Give solved MCQs from Class 10 😊