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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 - Mathematics

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प्रश्न

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

विकल्प

  • True

  • False

MCQ
सत्य या असत्य
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उत्तर

This statement is False.

Explanation:

Let A = {1}, B = {{1}, 2}. Now, 1 ∈ A, A ∈ B, but 1 ∉ is the set B because 1 is not in B.

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अध्याय 1: Sets - Miscellaneous Exercise [पृष्ठ २६]

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एनसीईआरटी Mathematics [English] Class 11
अध्याय 1 Sets
Miscellaneous Exercise | Q 2.1 | पृष्ठ २६

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