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\(A=\frac{2015}{2016}+\frac{2016}{2017}=1-\frac{1}{2016}+1-\frac{1}{2017}>1\)
\(B=\frac{2015+2016}{2016+2017}< \frac{2016+2017}{2016+2017}=1\)
Suy ra \(A>B\).
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A=(2014+1).2015=2014.2015+2015
B=2014.(2015+1)=2014.2015+2014
Vì 2014.2015+2015>2014.2015+2014 suy ra A>B
A=(2014+1).2015=2014.2015+2015
B=2014.(2015+1)=2014.2015+2014
Vì 2014.2015+2015>2014.2015+2014 suy ra A>B
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- \(A=\frac{2015}{2016}+\frac{2016}{2017}>1;\)
- \(B=\frac{2015+2016}{2016+2017}< 1\)
- Nên A>B
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\(\frac{2015}{2016}+\frac{2016}{2017}>\frac{\left(2015+2016\right)}{\left(2016+2017\right)}=\frac{2015}{2016+2017}+\frac{2016}{2016+2017}\)
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câu 1. tìm x nguyên để \(\frac{-35}{6}\)<x<\(\frac{-18}{5}\)
<=> -4,375<x<-3,6
mà x\(\in\)Z nên x={-4}
câu 2. A=\(\frac{2015}{2016}\)+\(\frac{2016}{2017}\)
B=\(\frac{2015+2016}{2016+2017}\)=\(\frac{2015}{2016+2017}\)+\(\frac{2016}{2016+2017}\)
Vì \(\frac{2015}{2016+2017}\)<\(\frac{2015}{2016}\); \(\frac{2016}{2016+2017}\)<\(\frac{2016}{2017}\)
Vậy B<A
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A = 202 x 202
= (200 + 2) x 202 = 200 x 202 + 2 x 202
B = 200 x 204
= 200 x ( 202 + 2 ) = 200 x 202 + 200 x 2
Vì 2 x 202 > 200 x 2 \(\Rightarrow\)A > B
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