Let A and B be subsets of R that are bounded above. Define A + B = {a + b : (a ∈A) ∧(b ∈B)}. Prove that lub(A + B) = lub

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answerhappygod
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Let A and B be subsets of R that are bounded above. Define A + B = {a + b : (a ∈A) ∧(b ∈B)}. Prove that lub(A + B) = lub

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Let A and B be subsets of R that are bounded above. Define A + B= {a + b : (a ∈A) ∧(b ∈B)}. Prove that lub(A + B) = lubA +lubB.
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