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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 x ∈ A and A ⊄ B, then x ∈ B

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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 x ∈ A and A ⊄ B, then x ∈ B

Options

  • True

  • False

MCQ
True or False
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Solution

This statement is False.

Explanation:

Let A = {3, 5, 7} and B = {3, 4, 6}

Now, 5 ∈ A and A ⊄ B

However, 5 ∉ B

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Chapter 1: Sets - Miscellaneous Exercise [Page 21]

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NCERT Mathematics [English] Class 11
Chapter 1 Sets
Miscellaneous Exercise | Q 2. (v) | Page 21

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