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Костячок
@Костячок
July 2022
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sedinalana
Verified answer
1
|5-x|=2(2x-5)
a)x<5
5-x=4x-10
4x+x=5+10
5x=15
x=3
b)x≥5
-5+x=4x-10
4x-x=-5+10
3x=5
x=5/3 не удов усл
2
|3/(x-7)|>6/7
[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 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 x=7⇒7<x<10,5
Ответ x∈(3;7) U (7;10,5)
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Answers & Comments
Verified answer
1|5-x|=2(2x-5)
a)x<5
5-x=4x-10
4x+x=5+10
5x=15
x=3
b)x≥5
-5+x=4x-10
4x-x=-5+10
3x=5
x=5/3 не удов усл
2
|3/(x-7)|>6/7
[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 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 x=7⇒7<x<10,5
Ответ x∈(3;7) U (7;10,5)