Mathematics Sem 1 PROOFS

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Last updated 5:22 PM on 9/9/26

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(A^c)^c= A

_{^{(Property of the double complement - Proposition 8)}}

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Prove: A subset A of ℝ is an interval if and only if, given any x,y ∈ A, we have αx + (1 - α) y ∈ A for all α ∈ [0,1].

_{^{(Proposition 31)}}

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Prove that (A∪B)^c = A^c∩ B^c

_{^{(First De Morgan Law - proposition 16)}}

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Prove that (A∩B)^c = A^c∪B^c

_{^{(Second De Morgan law)}}

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