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Pentru ce valori ale lui x au loc inegalitatile: 1)[tex] x^{3} [/tex] >1000 ; 2) [tex] x^{6} [/tex] < 15625

Răspuns :

    
[tex]1) \\ x^{3} \ \textgreater \ 1000 \\ x^{3} \ \textgreater \ 10^3 \\ x\ \textgreater \ 10 \\ x \in (10,~~+\infty) \\ 2) \\ x^{6} \ \textless \ 15625 \\ x^{6} \ \textless \ 5^6 \\ x\ \textless \ 5 \\ x\in (-\infty,~5)[/tex]