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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 x ∉ B, then x ∉ A - 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 x ∉ B, then x ∉ A

विकल्प

  • True

  • False

MCQ
सत्य या असत्य
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उत्तर

This statement is True.

Explanation:

Let A ⊂ B and x ∉ B.

Now, x ∉ A

If possible, suppose x ∈ A.

Then, x ∈ B, which is a contradiction as x ∉ B

∴ x ∉ A

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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 2.6 | पृष्ठ २६

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