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NebovNebe
@NebovNebe
July 2022
1
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Помогите, срочно!
Неравенства с модулем
|2х-4|<х+6
|3х-5|>х+7
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sangers1959
Verified answer
I2x-4I<x+6
x∈(-∞;2)
-2x+4<x+6
3x>-2
x>-2/3 x∈(-2/3;2)
x∈(2;+∞)
2x-4<x+6
x<10 x∈(2;10)
x∈(-2/3;2)U(2;10).
I3x-5I>x+7
x∈(-∞;5/3)
-3x+5>x+7
4x<-2
x<-0,5 x∈(-∞;-0,5)
x∈(5/3;+∞)
3x-5>x+7
2x>12
x>6 x∈(6;+∞)
x∈(-∞;-0,5)U(6;+∞).
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Answers & Comments
Verified answer
I2x-4I<x+6x∈(-∞;2)
-2x+4<x+6
3x>-2
x>-2/3 x∈(-2/3;2)
x∈(2;+∞)
2x-4<x+6
x<10 x∈(2;10)
x∈(-2/3;2)U(2;10).
I3x-5I>x+7
x∈(-∞;5/3)
-3x+5>x+7
4x<-2
x<-0,5 x∈(-∞;-0,5)
x∈(5/3;+∞)
3x-5>x+7
2x>12
x>6 x∈(6;+∞)
x∈(-∞;-0,5)U(6;+∞).