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If P = {X : X ∈ W and 4 ≤ X ≤ 8}, and Q = {X : X ∈ N and X < 6}. Find: is (P ∪ Q) ⊃ (P ∩ Q)? - Mathematics

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Question

If P = {x : x ∈ W and 4 ≤ x ≤ 8}, and Q = {x : x ∈ N and x < 6}. Find: Is (P ∪ Q) ⊃ (P ∩ Q)?

Sum

Solution

Yes, all the element of set P ∪ Q are contained in the set P ∩ Q.Therefore P ∪ Q is a proper subset of P ∪ Q.

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Distributive Laws
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Chapter 6: Sets - Exercise 6 (D) [Page 72]

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Selina Concise Mathematics [English] Class 8 ICSE
Chapter 6 Sets
Exercise 6 (D) | Q 2.2 | Page 72
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