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For Any Two Sets a and B, Prove That: a ∩ B = ϕ ⇒ a ⊆ B ′ - Mathematics

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Question

For any two sets A and B, prove that: \[A \cap B = \phi \Rightarrow A \subseteq B'\] 

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Solution

Let \[A \cap B = \phi \Rightarrow A \subseteq B'\]

\[\Rightarrow a \in B'\] 

Thus, 

\[a \in A \text{ and } a \in B' \Rightarrow A \subseteq B'\]

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Chapter 1: Sets - Exercise 1.06 [Page 27]

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RD Sharma Mathematics [English] Class 11
Chapter 1 Sets
Exercise 1.06 | Q 9 | Page 27

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