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If A = {5, 6, 7, 8, 9}, B = {x : 3 < x < 8 and x ∈ W} and C = {x : x ≤ 5 and x ∈ N}. Find: A ∩ B and (A ∩ B) ∩ C - Mathematics

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Question

If A = {5, 6, 7, 8, 9}, B = {x : 3 < x < 8 and x ∈ W} and C = {x : x ≤ 5 and x ∈ N}. Find: 
A ∩ B and (A ∩ B) ∩ C

Sum

Solution

Find A ∩ B

A ∩ B = {5, 6, 7, 8, 9} ∩ {4, 5, 6, 7}

A ∩ B = {5, 6, 7}

Find (A ∩ B) ∩ C

(A ∩ B) ∩ C = {5, 6, 7} ∩ {1, 2, 3, 4, 5}

(A ∩ B) ∩ C = {5}

  • A ∩ B = {5, 6, 7}
  • (A ∩ B) ∩ C = {5}
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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 3.3 | Page 72
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