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Let a = { X : X ∈ N } , B = { X : X − 2 N , N ∈ N } , C = { X : X = 2 N − 1 , N ∈ N } and D = {X : X is a Prime Natural Number}. Find: a ∩ B - Mathematics

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Question

Let \[A = \left\{ x: x \in N \right\}, B = \left\{ x: x - 2n, n \in N \right\}, C = \left\{ x: x = 2n - 1, n \in N \right\}\]and D = {x : x is a prime natural number}. Find: \[A \cap B\]

 

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Solution

\[A = \left\{ x: x \in N \right\} = {1, 2, 3, . . . }\]
\[B = \left\{ x: x - 2n, n \in N \right\} = {2, 4, 6, 8, . . . } \]
\[C = \left\{ x: x = 2n - 1, n \in N \right\} = {1, 3, 5, 7, . . . }\]
\[\] 

D = {x:x is a prime natural number.} = {2, 3, 5, 7,...} 

\[A \cap B\]

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Chapter 1: Sets - Exercise 1.05 [Page 21]

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RD Sharma Mathematics [English] Class 11
Chapter 1 Sets
Exercise 1.05 | Q 3.1 | Page 21

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