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maaaaaaarusya
@maaaaaaarusya
December 2021
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помогите решить ещё одно неравенство с модулем
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LFP
Verified answer
X^2 - 16 + 6*|x-4| <= 0
1)) x < 4
(x-4)*(x+4-6) <= 0
(x-4)*(x-2) <= 0
2 <= x <= 4 --- решение: [2; 4)
2)) x >= 4
(x-4)*(x+4+6) <= 0
(x-4)*(x+10) <= 0
-10 <= x <= 4 --- решение: {4}
Ответ: [2; 4]
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Answers & Comments
Verified answer
X^2 - 16 + 6*|x-4| <= 01)) x < 4
(x-4)*(x+4-6) <= 0
(x-4)*(x-2) <= 0
2 <= x <= 4 --- решение: [2; 4)
2)) x >= 4
(x-4)*(x+4+6) <= 0
(x-4)*(x+10) <= 0
-10 <= x <= 4 --- решение: {4}
Ответ: [2; 4]