Suppose a, b ? r are two bounded sets

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Suppose A, B ⊂ R are two bounded sets (i.e., bounded above and below).Show that A - B = {a - b|a ∈ A, b ∈ B} is also bounded, and that sup(A - B) = sup(A) - inf(B)

Reference no: EM13879036

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Suppose a, b ? r are two bounded sets : Suppose A, B ⊂ R are two bounded sets (i.e., bounded above and below).Show that A - B = {a - b|a ∈ A, b ∈ B} is also bounded, and that sup(A - B) = sup(A) - inf(B)

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