Равносильно ли неравенство?
[tex]\frac{7x^{2} -11x-18}{x^{2}+8x+16 } +\frac{1}{100-x} \ \textgreater \ \frac{1}{100-x}[/tex] и [tex]\frac{7x^{2}-11x-18 }{x^{2}+8x+16} \ \textgreater \ 0[/tex]
[tex]\frac{7x^{2} -11x-18}{x^{2}+8x+16 } +\frac{1}{100-x} \ \textgreater \ \frac{1}{100-x}[/tex] и [tex]\frac{7x^{2}-11x-18 }{x^{2}+8x+16} \ \textgreater \ 0[/tex]
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Неравносильны. Решение прикреплено. Удачи