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# Algebra functions

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For a real number x, find the number of different possible values of x/|x|.

Mar 9, 2022

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If x is positive, $$x \over | x |$$ will always equal 1.

If x is 0, $$0 \over 0$$ will equal undefined

If x is negative, $$x \over | x |$$ will equal -1.

Thus, there are $$\color{brown}\boxed{3}$$ distinct values.

Mar 9, 2022