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Show that if A ⊂ B, then C – B ⊂ C – A. - Mathematics

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प्रश्न

Show that if A ⊂ B, then C – B ⊂ C – A.

बेरीज

उत्तर

Let x ∈ C – B = x ∈ C but x ∉ B

Given: A ⊂ B ⇒ if x ∉ B ⇒ x ∉ A

i.e. x ∈ C and x ∉ A ⇒ x ∈ C – A

Here, we find that

if x ∈ C – B then x ∈ C – A

⇒ C – B ⊂ C – A.

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पाठ 1: Sets - Miscellaneous Exercise [पृष्ठ २६]

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एनसीईआरटी Mathematics [English] Class 11
पाठ 1 Sets
Miscellaneous Exercise | Q 5 | पृष्ठ २६

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