Determine the truth value of each statement, assuming that x, y, and z are real numbers.

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For all x in R, there exist y in R:y^3 =x

There exist y in R, for all x in R: y^3 = x

I am not quite sure what each is asking for.

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The first one says every real number has a real cube root. The second one says all real numbers have the same cube roots.

You can decide which one is true.