हिंदी

U = {1, 2, 3, 7, 8, 9, 10, 11, 12} P = {1, 3, 7, 10} then show the sets U, P and P' by the Venn diagram. Verify (P')' = P - Algebra

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प्रश्न

U = {1, 2, 3, 7, 8, 9, 10, 11, 12}
P = {1, 3, 7, 10} then
  1. show the sets U, P and P' by the Venn diagram.
  2. Verify (P')' = P
आकृति
योग
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उत्तर

(i) We have, U = {1, 2, 3, 7, 8, 9, 10, 11, 12} and P = {1, 3, 7, 10}

P' = U - P = {2, 8, 9, 11, 12}

(ii) U = {1, 2, 3, 7, 8, 9, 10, 11, 12} and P = {1, 3, 7, 10} 

P' = {2, 8, 9, 11, 12}

∴ (P')' = U - P' = {1, 3, 7, 10}

∴ (P')' = P

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अध्याय 1: Sets - Practice Set 1.3 [पृष्ठ ११]

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बालभारती Mathematics 1 [English] Standard 9 Maharashtra State Board
अध्याय 1 Sets
Practice Set 1.3 | Q (3) | पृष्ठ ११

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