Решить неравенство: |3x-5| строго больше |5+x|. Created by katyaposelkina. algebra-ru

Решить неравенство: |3x-5| строго больше |5+x|...

katyaposelkina @katyaposelkina

September 2021 1 11 Report

Решить неравенство:

|3x-5| строго больше |5+x|

Answers & Comments

sedinalana

Verified answer

1)x<-5
-3x+5>-5-x
-3x+x>-5-5
-2x>-10
x<5
x∈(-∞;-5)
2)-5≤x≤5/3
-3x+5>5+x
-3x-x>5-5
-4x>0
x<0
x∈[-5;0)
3)x>5/3
3x-5>5+x
3x-x>5+5
2x>10
x>5
x∈(5;∞)
Ответ x∈(-∞;0) U (5;∞)

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