Maharashtra State BoardSSC (English Medium) 9th Standard
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M ∪ N = {1, 2, 3, 4, 5, 6} and M = {1, 2, 4} Then Which of the Following Represent Set N ? - Algebra

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MCQ

M ∪ N = {1, 2, 3, 4, 5, 6} and M = {1, 2, 4} then which of the following represent set N ?

Options

  • {1, 2, 3} 

  • {3, 4, 5, 6}

  • {2, 5, 6}

  • {4, 5, 6}

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Solution

We have, M ∪ N = {1, 2, 3, 4, 5, 6} and M = {1, 2, 4}

Since, {1, 2, 3} ∪ {1, 2, 4} = {1, 2, 3, 4} ≠  M ∪ N = {1, 2, 3, 4, 5, 6};

{3, 4, 5, 6} ∪ {1, 2, 4} = {1, 2, 3, 4, 5, 6} = M ∪ N = {1, 2, 3, 4, 5, 6};

{2, 5, 6} ∪ {1, 2, 4} = {1, 2, 4, 5, 6} ≠ M ∪ N = {1, 2, 3, 4, 5, 6}; and

{4, 5, 6} ∪ {1, 2, 4} = {1, 2, 4, 5, 6}  ≠ M ∪ N = {1, 2, 3, 4, 5, 6}

Concept: Concept of Sets
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