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Rezolvati in N inecuatia [tex] (\sqrt{2}-1,5)x \geq 2 \sqrt{2} -3[/tex] 50 de puncte+coroana celui mai desfasurat raspuns

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[tex]( \sqrt{2} -1,5)x \geq 2 \sqrt{2} -3 \\ x \geq \frac{2 \sqrt{2} -3 }{ \sqrt{2} -1,5} \\ x \geq \frac{(2 \sqrt{2} -3)(\sqrt{2} +1,5) }{ (\sqrt{2} -1,5)(\sqrt{2} +1,5)} \\ x \geq \frac{4+3 \sqrt{2}-3 \sqrt{2} -4.5 }{2-2.25} \\ x \geq \frac{-0.5}{-0.25} \\ x \geq \frac{5}{10} * \frac{100}{25} \\ x \geq \frac{1}{2} *4 \\ x \geq 2 \\ x\in[2,+ \infty)[/tex]
[tex]( \sqrt{2} -1,5) \geq 2( \sqrt{2} -1,5) \\ \sqrt{2} \ \textless \ 1,42\ \textless \ 1,5 \\ \sqrt{2} -1,5\ \textless \ 0 \\ ( \sqrt{-1,5) } \geq 2( \sqrt{2}-1,5)|:( \sqrt{2} -1,5) \\ x \leq 2 \\ x\in\{0,1,2\}[/tex]
Se schimba sensul inegalitatii deoarece am impartit la un numar negativ

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