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Archangel Macsika

Find a counter example to the following universally quantified statements, where the domain for all variables consist of all integers. ∀x, x^2, <=x^3.

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Let us find a counter example to the following universally quantified statement, where the domain for all variables consist of all integers:

\forall x (x^2\leq x^3)


Indeed, for the integer number x=-2 we have that x^2=4, x^3=-8. Therefore, it is not true that

x^2\leq x^3.

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Question ID: mtid-5-stid-8-sqid-3570-qpid-2269