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

Toán Lớp 8: Giai pt sau: (x-15)/2002+(x-13)/2004+(x-11)/2006 $\leq$ 3

Toán Lớp 8: Giai pt sau:
(x-15)/2002+(x-13)/2004+(x-11)/2006 $\leq$ 3

Comments ( 2 )

  1. Lời giải và giải thích chi tiết:
    (x-15)/2002+(x-13)/2004+(x-11)/2006 <=3
    =>(x-15)/2002+(x-13)/2004+(x-11)/2006-3 <=0
    =>((x-15)/2002-1)+((x-13)/2004-1)+((x-11)/2006-1) <=0
    =>(x-2017)/2002+(x-2017)/2004+(x-2017)/2006 <=0
    =>(x-2017)(1/2002+1/2004+1/2006)<=0
    Mà 1/2002+1/2004+1/2006>0
    =>x-2017<=0
    =>x<=2017

  2. Lời giải và giải thích chi tiết:
    (x-15)/2002+(x-13)/2004+(x-11)/2006 <=3
    <=>(x-15)/2002+(x-13)/2004+(x-11)/2006-3 <=0
    <=>((x-15)/2002-1)+((x-13)/2004-1)+((x-11)/2006-1) <=0
    <=>(x-2017)/2002+(x-2017)/2004+(x-2017)/2006 <=0
    <=>(x-2017)(1/2002+1/2004+1/2006)<=0
    Lại có 1/2002+1/2004+1/2006>0
    <=>x-2017<=0
    <=>x<=2017
        Vậy x<=2017.

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