Đáp án:
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Giải thích các bước giải:
`1)` Tìm `x`:
`-2/3.(x-1)-(x-1/3)=1/6`
`=>-2/3x-(-2/3)-x-1/3=1/6`
`=>x(-2/3-1)+2/3 =1/6+1/3`
`=>x(-5/3)+2/3=1/2`
`=>x(-5/3)=1/2-2/3`
`=>x(-5/3)=-1/6`
`=>x=-1/6:-5/3`
`=>x=1/10`
`2)` Chứng minh rằng:
`A=1/5+1/14+1/28+1/44+1/61+1/85+1/97<1/2`
`A=1/5+(1/14+1/28+1/44)+(1/61+1/85+1/97)<1/2`
`A<1/5+(1/14.3)+(1/61.3)`
`A<1/5+3/14+3/61`
`A<1/5+1/4+1/30=1/2`
`=>A<1/2 .`