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Mathematics

Let the set I of all integers be the universal set and let A = {x : x is a negative integer} be its subset. Find A'.

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Answer

Universal Set (I) = The set of all integers, which includes negative integers, zero, and positive integers. I = {…, -2, -1, 0, 1, 2, ….}.

A = The set of all negative integers = {…, -3, -2, -1}.

Complement (A') = This set consists of all integers that are not negative. This includes zero and all positive integers (0, 1, 2, 3, ….).

∴ A' = {x : x is a non-negative integer}

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