Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11
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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: C ∩ D - Mathematics

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: \[C \cap D\]

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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,...} 

\[C \cap D\] =\[-\]{2}

 

Concept: Venn Diagrams
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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 1 Sets
Exercise 1.5 | Q 3.6 | Page 21
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