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August 2021
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(-2)/(|x|+1) "знак больше или равно" |x|-2
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oganesbagoyan
Verified answer
* * * * * Без разговора * * * * *
- 2/(| x | +1) ≥ | x | -2 ; | x | +1 ≥ 1 > 0
-2 ≥ (| x | +1 )(| x | -2 ) ;
-2 ≥ | x |² - | x | - 2 ;
| x | ( | x | -1) ≤ 0 ;
0
≤ x | ≤ 1 ;
| x | ≤ 1 ;
-1 ≤ x ≤ 1 .
ответ :
x∈ [ -1 ; 1 ]
.
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Answers & Comments
Verified answer
* * * * * Без разговора * * * * *- 2/(| x | +1) ≥ | x | -2 ; | x | +1 ≥ 1 > 0
-2 ≥ (| x | +1 )(| x | -2 ) ;
-2 ≥ | x |² - | x | - 2 ;
| x | ( | x | -1) ≤ 0 ;
0 ≤ x | ≤ 1 ;
| x | ≤ 1 ;
-1 ≤ x ≤ 1 .
ответ : x∈ [ -1 ; 1 ] .