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LilyLuna
@LilyLuna
July 2022
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Помогите, пожалуйста, решить!!! Заранее огромное спасибо
[tex]|x-3|+|2+x| \leq 2x+3[/tex]
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sedinalana
Verified answer
|x-3|+|2+x|≤2x+3
1)x<-2
-x+3-2-x≤2x+3
-2x-2x≤3-1
-4x≤2
x≥-0,5
нет решения
2)-2≤x≤3
-x+3+x+2≤2x+3
-2x≤3-5
-2x≤-2
x≥1
1≤x≤3
3)x>3
x-3+x+2≤2x+3
2x-2x≤3+1
0≤4
x>3
Ответ x∈[1;∞)
1 votes
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Answers & Comments
Verified answer
|x-3|+|2+x|≤2x+31)x<-2
-x+3-2-x≤2x+3
-2x-2x≤3-1
-4x≤2
x≥-0,5
нет решения
2)-2≤x≤3
-x+3+x+2≤2x+3
-2x≤3-5
-2x≤-2
x≥1
1≤x≤3
3)x>3
x-3+x+2≤2x+3
2x-2x≤3+1
0≤4
x>3
Ответ x∈[1;∞)