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Efficace
@Efficace
July 2022
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помогите решить неравенство
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sharadi
√(х - 3) < x - 5 |²
составим систему с учётом ОДЗ:
х - 3 < x² -10x +25 x² -11x +28 > 0 (-∞; 4)∪(7;+∞)
x - 3 ≥ 0 x > 3 (3;+∞)
x - 5 > 0, ⇒ x > 5, ⇒ (5;+∞)
Ответ: х∈(7; +∞)
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Answers & Comments
составим систему с учётом ОДЗ:
х - 3 < x² -10x +25 x² -11x +28 > 0 (-∞; 4)∪(7;+∞)
x - 3 ≥ 0 x > 3 (3;+∞)
x - 5 > 0, ⇒ x > 5, ⇒ (5;+∞)
Ответ: х∈(7; +∞)