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\(-\dfrac{1}{3}< \dfrac{A}{36}< \dfrac{B}{18}< -\dfrac{1}{4}\)
<=>\(-\dfrac{12}{36}< \dfrac{A}{36}< \dfrac{2B}{36}< -\dfrac{9}{36}\)
<=> -12 < x + 1 < 2(2 - y) < -9
<=> -12 < x + 1 < 4 - 2y < -9
=> x + 1 = -11 => x = -12
4 - 2y = -10 => y = 7
Vậy (x; y) = (-12; 7)
−13<A36<B18<−14−13<A36<B18<−14
<=>−1236<A36<2B36<−936−1236<A36<2B36<−936
<=> -12 < x + 1 < 2(2 - y) < -9
<=> -12 < x + 1 < 4 - 2y < -9
=> x + 1 = -11 => x = -12
4 - 2y = -10 => y = 7
Vậy (x; y) = (-12; 7)
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Kiyoko Vũ
a, xét từng đoạn 1 , 1/2 ,1/2^3 ,1/2^4 ,1/2^5 ,1/2^6
ta có
1 = 1
1/2 + 1/3 < 1/2 + 1/2 = 1
1/4 + 1/5 + .. + 1/7 < 1/4 +..+ 1/4 = 4/4 = 1
1/8 + 1/9 + .. + 1/15 < 1/8 + .. + 1/8 = 8/8 = 1
tương tự
1/16 +1/17 + .. + 1/31 < 1
1/32 + 1/33 + .. + 1/63 < 1
=> cộng lại => A < 6
b, Câu hỏi của trịnh quỳnh trang - Toán lớp 6 - Học toán với OnlineMath
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a, Ta có :
\(\dfrac{1}{6}< \dfrac{1}{5}\)
\(\dfrac{1}{7}< \dfrac{1}{5}\)
.................
\(\dfrac{1}{9}< \dfrac{1}{5}\)
\(\dfrac{1}{10}=\dfrac{1}{10}\)
\(\dfrac{1}{11}< \dfrac{1}{10}\)
..................
\(\dfrac{1}{17}< \dfrac{1}{10}\)
\(\Leftrightarrow\dfrac{1}{5}+\dfrac{1}{6}+\dfrac{1}{7}+......+\dfrac{1}{17}< \dfrac{1}{5}+\dfrac{1}{5}+....+\dfrac{1}{5}\)
\(\Leftrightarrow A< \dfrac{1}{5}.5+\dfrac{1}{10}.8\)
\(\Leftrightarrow A< 1+\dfrac{4}{5}=\dfrac{9}{5}< 2\)
\(\Leftrightarrow A< 2\left(đpcm\right)\)
b/ Ta có :
\(\dfrac{1}{11}>\dfrac{1}{30}\)
\(\dfrac{1}{12}>\dfrac{1}{30}\)
...............
\(\dfrac{1}{29}>\dfrac{1}{30}\)
\(\dfrac{1}{30}=\dfrac{1}{30}\)
\(\Leftrightarrow\dfrac{1}{11}+\dfrac{1}{12}+........+\dfrac{1}{30}>\dfrac{1}{30}+\dfrac{1}{30}+.......+\dfrac{1}{30}\)
\(\Leftrightarrow B>\dfrac{1}{30}.20=\dfrac{2}{3}\)
\(\Leftrightarrow B>\dfrac{2}{3}\left(đpcm\right)\)
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a: \(\Leftrightarrow\dfrac{1}{2}-\dfrac{1}{3}-\dfrac{1}{4}< x< \dfrac{1}{48}-\dfrac{1}{16}+\dfrac{1}{6}\)
\(\Leftrightarrow\dfrac{6}{12}-\dfrac{4}{12}-\dfrac{3}{12}< x< \dfrac{1}{48}-\dfrac{3}{48}+\dfrac{8}{48}\)
\(\Leftrightarrow\dfrac{-1}{12}< x< \dfrac{1}{8}\)
\(\Leftrightarrow-2< 24x< 3\)
=>x=0
b: \(\Leftrightarrow\dfrac{9-10}{12}< \dfrac{x}{12}< 1-\dfrac{8-3}{12}=\dfrac{7}{12}\)
=>-1<x<7
hay \(x\in\left\{0;1;2;3;4;5;6\right\}\)
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a/ \(A=\left(1-\dfrac{1}{2}\right)\left(1-\dfrac{1}{3}\right)........\left(1-\dfrac{1}{a+1}\right)\)
\(=\left(\dfrac{2}{2}-\dfrac{1}{2}\right)\left(\dfrac{3}{3}-\dfrac{1}{3}\right).......\left(\dfrac{a+1}{a+1}-\dfrac{1}{a+1}\right)\)
\(=\dfrac{1}{2}.\dfrac{2}{3}.............\dfrac{a}{a+1}\)
\(=\dfrac{1}{a+1}\)
Giúp với mình cần bài này gấp , bạn nào làm giúp mình , mình tick cho
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Cho A = 1/2 .3/4.5/6.....199/200.Chứng tỏ rằng B mũ 2 <1/201.Bạn có làm dược ko ?
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A= \(\dfrac{-3}{5}-\dfrac{-4}{5}+\dfrac{-9}{10}\)
A = \(\dfrac{-7}{10}\)
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BÀi 1
Để A \(\in\) Z
=>\(\left(n+2\right)⋮\left(n-5\right)\)
=>\([\left(n-5\right)+7]⋮\left(n-5\right)\)
=>\(7⋮\left(n-5\right)\)
=>\(n-5\in\left\{1;7;-1;-7\right\}\)
=>\(n\in\left\{6;13;4;-2\right\}\)
Vậy \(n\in\left\{6;13;4;-2\right\}\)
Cho $a=3, b=2$ thì $\frac{a}{b}> \frac{a+1}{b+1}$ nhé. Bạn coi lại đề.