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1. |
For three sets A, B, and C, show that A ⊂ B C – B ⊂ C – A |
Answer» Given: A ⊂ B To show: C–B ⊂ C–A Let x ϵ C– B ⇒ x ϵ C and x ∉ B [by definition C–B] ⇒ x ϵ C and x ∉ A ⇒ x ϵ C–A Thus x ϵ C–B ⇒ x ϵ C–A. This is true for all x ϵ C–B. C – B ⊂ C – A |
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