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

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in Mathematics by (2.5k points)

Show that if 

      A ⊂ B, then C – B ⊂ C – A.

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1 Answer

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by (2.5k points)
 
Best answer

Let A ⊂ B  

To show:

 C – B ⊂ C – A

 Let 

x ∈ C – B

 ⇒ x ∈ C and x ∉ B 

⇒ x ∈ C and x ∉ A [A ⊂ B] 

⇒ x ∈ C – A ∴ C – B ⊂ C – A  

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