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drefer
@drefer
July 2021
1
6
Report
Помогите!!!
6)-10x-28>8-6(2x+4)
7)-4(4x+4)-9 больше либо равно -12x-53
8)-58x-17<-5(8x-9)-8
9)2(x+4)+8<40-6x
10)2(9-4x)+2>16-12x
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oganesbagoyan
Verified answer
6)
-10x-28>8-6(2x+4) ;
-10x-28>8-12x-24 ;
-10x +12x > 28 +8-24 ;
2 x> 12 ;
x > 12/2 = 6.
ответ: x∈(6 ; ∞).
-------------
7)
-4(4x+4)-9
≥
-12x-53 ;
-16x -16 -9 ≥ -12x-53 ;
-16 -9 + 53 ≥ -12x +16x ;
28 ≥ 4x ;
x≤ 7,
ответ: x∈( -∞
; 7]
.
-------------
8)
-58x-17 < - 5(8x-9)-8 ;
-58x-17 < - 40x+45 -8 ;
-58x+40x < 45 -8 +17;
-18x < 54 ; внимание !
x > 54/(-18) ;
x > -3
ответ: x∈( -3
;
∞).
-------------------
-58x-17 < - 5(8x-9)-8 ;
-58x-17 < - 40x+45 -8 ;
-17-45 +8 < - 40x+58x ;
- 54 <18 x ;
x > -54/18 ;
x > -3
закончим , достаточно
.
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Answers & Comments
Verified answer
6) -10x-28>8-6(2x+4) ;-10x-28>8-12x-24 ;
-10x +12x > 28 +8-24 ;
2 x> 12 ;
x > 12/2 = 6.
ответ: x∈(6 ; ∞).
-------------
7) -4(4x+4)-9 ≥ -12x-53 ;
-16x -16 -9 ≥ -12x-53 ;
-16 -9 + 53 ≥ -12x +16x ;
28 ≥ 4x ;
x≤ 7,
ответ: x∈( -∞ ; 7].
-------------
8) -58x-17 < - 5(8x-9)-8 ;
-58x-17 < - 40x+45 -8 ;
-58x+40x < 45 -8 +17;
-18x < 54 ; внимание !
x > 54/(-18) ;
x > -3
ответ: x∈( -3 ;∞).
-------------------
-58x-17 < - 5(8x-9)-8 ;
-58x-17 < - 40x+45 -8 ;
-17-45 +8 < - 40x+58x ;
- 54 <18 x ;
x > -54/18 ;
x > -3
закончим , достаточно
.