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In: Advanced Math

A set X is said to be closed under multiplication if for every x1,x2 ∈ X...

A set X is said to be closed under multiplication if for every x1,x2 ∈ X we have x1x2 ∈ X. Let A be the union of all bounded subsets X ⊆ R that are closed under multiplication. Does inf(A) exist? If it does, find it.

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