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If A, B, C are three sets such that A ⊂ B, then prove that C – B ⊂ C – A. |
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Answer» Given as, ACB To prove the C – B ⊂ C – A Consider, x ∈ C – B ⇒ x ∈ C and x ∉ B ⇒ x ∈ C and x ∉ A ⇒ x ∈ C – A Hence, x ∈ C–B ⇒ x ∈ C – A This is true for all x ∈ C – B ∴ C – B ⊂ C – A Thus proved. |
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