|2x+3|>x+4 решить неравенство. Created by Ranran15. algebra-ru

|2x+3|>x+4 решить неравенство...

Ranran15 @Ranran15

July 2022 1 9 Report

|2x+3|>x+4 решить неравенство

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fadarm

Verified answer

Случай первый, 2x+3>0, тогда получаем
2x+3>x+4 ⇒ x>1
Случай второй, 2x+3<0, тогда получаем
-2x-3>x+4 ⇒ 3x<-7 ⇒ $x\ \textless \ -\frac{7}{3}$
x∈(-∞; $- \frac{7}{3}$ ) ∪ (1;+∞)

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