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

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Solution

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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