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For Any Two Sets of a and B, Prove That: B ′ ⊂ a ′ ⇒ a ⊂ B - Mathematics

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प्रश्न

For any two sets of A and B, prove that: 

\[B' \subset A' \Rightarrow A \subset B\]

उत्तर

\[\text{ Let }a \in A . \]
\[ \Rightarrow a \not\in A'\]
\[ \Rightarrow a \not\in B' \left( \because B' \subset A' \right)\]
\[ \Rightarrow a \in B\]
\[\text{ Hence }, A \subset B .\]

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अध्याय 1: Sets - Exercise 1.06 [पृष्ठ २७]

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आरडी शर्मा Mathematics [English] Class 11
अध्याय 1 Sets
Exercise 1.06 | Q 12.2 | पृष्ठ २७

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