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БеттиБетти
@БеттиБетти
July 2022
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СРОЧНО!! Найдите сумму всех целых решений неравенств |3/x-7|>6/7
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sedinalana
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[3/(x-7)<-6/7⇒3/(x-7)+6/7<0⇒(21+6x-42)/7(x-7)<0⇒(6x-21)/7(x-7)<0
x=3 U x=7
3<x<7
[3/(x-7)>6/7⇒3/(x-7)-6/7>0⇒(21-6x+42)/7(x-7)>0⇒(63-6x)/7(x-7)>0
x=10,5 U x=7
7<x<10,5
x∈(3;7) U (7;10,5)
4+5+6+8+9+10=42
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Verified answer
[3/(x-7)<-6/7⇒3/(x-7)+6/7<0⇒(21+6x-42)/7(x-7)<0⇒(6x-21)/7(x-7)<0x=3 U x=7
3<x<7
[3/(x-7)>6/7⇒3/(x-7)-6/7>0⇒(21-6x+42)/7(x-7)>0⇒(63-6x)/7(x-7)>0
x=10,5 U x=7
7<x<10,5
x∈(3;7) U (7;10,5)
4+5+6+8+9+10=42