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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 True.

Explanation:

A ⊂ B ⇒ If x ∈ A and x ∈ B

But B ⊂ C ⇒ If x ∈ B then x ∈ C

∴ If x ∈ A then x ∈ A then x ∈ C ⇒ A ⊂ 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 2.3 | पृष्ठ २६

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