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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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प्रश्न

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

विकल्प

  • True

  • False

MCQ
सत्य या असत्य
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उत्तर

This statement is False.

Explanation:

Let A = {1}, B = {1, 2} and C = {{1, 2}, 3}

The elements of set A are in set B.

∴ A ∈ B

The elements {1, 2} are in the set C” B ∈ C

But A = {1} is not in the set C.

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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 2.2 | पृष्ठ २६

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