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Determine whether the statement is true or false. If it is true, prove it. If it is false, give an example. If A ⊄ B and B ⊄ C, then A ⊄ C - Mathematics

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Question

Determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.

If A ⊄ B and B ⊄ C, then A ⊄ C

Options

  • True

  • False

MCQ
True or False
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Solution

This statement is False.

Explanation:

Take A = {1, 2} B = {2, 3}, C = {1, 2, 5}

Now A ⊄ B and B ⊄ C, but A ⊂ C.

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Chapter 1: Sets - Miscellaneous Exercise [Page 26]

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NCERT Mathematics [English] Class 11
Chapter 1 Sets
Miscellaneous Exercise | Q 2.4 | Page 26

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