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For any two sets A and B, show that the following statements are equivalent: A ∪ B = B |
Answer» We need to show that 3 ⇒ 4 Assume that A ∪ B = B To show: A ∩ B = A. ∵A ∪ B = B ∴ A⊂ B and so A ∩ B = A. So (3) ⇒ (4) is true. |
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