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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 7: 3x + | x – 1 | = 7 ( x – 7 ) . ( x – 2 ) <0 ( x - 7 ) . ( x + 11 ) > 0

Toán Lớp 7: 3x + | x – 1 | = 7
( x – 7 ) . ( x – 2 ) <0 ( x - 7 ) . ( x + 11 ) > 0

Comments ( 2 )

  1. 1)3x+|x-1|=7
    TH1:x\geq1
    ->3x+x-1=7
    ->4x=8
    ->x=2(nhận)
    TH2:x<1
    ->3x+1-x=7
    ->2x=6
    ->x=3(loại)
    Vậy S={2}
    2)(x-7).(x-2)<0
    TH1:
    ->\(\left[ \begin{array}{l}x-7<0\\x-2>0\end{array} \right.\)
    ->\(\left[ \begin{array}{l}x<7\\x>2\end{array} \right.\)
    TH2:
    ->\(\left[ \begin{array}{l}x-7>0\\x-2<0\end{array} \right.\)
    ->\(\left[ \begin{array}{l}x>7\\x<2\end{array} \right.\) 
    3)(x-7).(x+11)>0
    TH1:
    ->\(\left[ \begin{array}{l}x-7>0\\x+11>0\end{array} \right.\)
    ->\(\left[ \begin{array}{l}x>7\\x>-11\end{array} \right.\)
    TH2:
    ->\(\left[ \begin{array}{l}x-7<0\\x+11<0\end{array} \right.\)
    ->\(\left[ \begin{array}{l}x<7\\x<-11\end{array} \right.\) 

  2. Giải đáp:3x-x+1=7
    2x=6
    x=3
    x^2-2x-7x-77<0
    x^2-9x<77
    x.(x-9)<77
    vậy x<77 hoặc x-9<77
                             x    <86
    x^2+11x-7x-77>0
    x^2+4x>77
    x.(x+4)>77
    vậy x>77 hoặc x+4>77
                             x     >73
     
    Lời giải và giải thích chi tiết:
     

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222-9+11+12:2*14+14 = ? ( )