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For any two sets A and B, show that the following statements are equivalent: A – B = ϕ |
Answer» We need to show that 2 ⇒ 3 So assume that A–B = ϕ To show: A∪B = B. ∵ A – B = ϕ ∴ Every element of A is an element of B. So A ⊂ B and therefore A∪B = B So (2) ⇒ (3) is true. |
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